Final Cut Pro 5.1.3 is a maintenance release that resolves performance and other issues.
Render File Compatibility
Render files created on both PowerPC-based and Intel-based Macintosh computers now work properly on either type of computer.
Keyboard Layout Issues Resolved
Final Cut Pro 5.1.3 adds several commands to the default keyboard layout that were missing in the previous version.
Issues with Cross Dissolves in Nested Sequences Resolved
Final Cut Pro 5.1.3 resolves cases in which cross dissolves did not work as expected in nested sequences containing still images with adjusted motion parameters.
www.apple.com/support/downloads/finalcutpro513.html

Render File Compatibility
Render files created on both PowerPC-based and Intel-based Macintosh computers now work properly on either type of computer.
Keyboard Layout Issues Resolved
Final Cut Pro 5.1.3 adds several commands to the default keyboard layout that were missing in the previous version.
Issues with Cross Dissolves in Nested Sequences Resolved
Final Cut Pro 5.1.3 resolves cases in which cross dissolves did not work as expected in nested sequences containing still images with adjusted motion parameters.
www.apple.com/support/downloads/finalcutpro513.html