See here's the thing, just because I have a 4 or whatever in the bass, that don't automatically mean I have that same chord associated with it. I could play a 1 chord with a 4 in the bass or something like that. The chord aspect of progressions is treated a little different than the bass aspect.
Now, I agree if u don't know what to play, u can start with the chords built off those degrees. But, if u want to sound like the CD, u gonna have to experiment with some different chords.