Both the progressive chasse and the quarter turn to right have the following rise and fall:
1) Commence to rise end of 1 (NFR for the inside partner, obviously not for the other)
2) continue to rise on 2 and 3
3) -
4) Up. Lower e/o 4
The book gives no rise for the 5th step of the progressive chasse, but if one is executing an alternating sequence of them this will be replaced by a first step of a quarter turn, so the rise of the following step will in fact be the same in both cases. (No rise would be used if the fifth step were taken as a connector to a reverse figure)