1 : toward the front : to or toward what is ahead or in front
a sudden movement forward
moved/pushed backward and forward
Her long hair fell forward as she bent to tie her shoes.
2 : toward the future
Remember to set the clock forward [=ahead] (by) an hour.
The narrative moves backward and forward in time.
from that time forward
Economists expect these trends to carry forward [=continue in the same way] into the next quarter.
3 : to or toward a more advanced state or condition
Our plans are moving forward. [=our plans are progressing]
The technology has taken a big step/leap forward.
I don't want to go forward [=proceed] without a contract.
We're going forward with the sale of the house. [=continuing to make the sale happen; not stopping the sale]