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Synonyms for Boost (same or very similar meaning)

WordNet sense 1 (an increase in cost):
hike, rise, cost increase

WordNet sense 2 (contribute to the progress or growth of):
advance, encourage, further, promote

WordNet sense 3 (increase):
hike up

WordNet sense 4 (the act of giving hope or support to someone):

WordNet sense 5 (increase or raise):

From the ODE community, based on WordNetadd/edit