Rise is the opposite of Lay. Lay is related to Past. Past is the opposite of Recent. Recent is related to Reference. 
Position is related to Rank. Last is a type of Rank. 
Rise <--Antonym--> Lay <--RelatedTo--> Past <--Antonym--> Recent <--RelatedTo--> Reference 
Position <--RelatedTo--> Rank <--IsA-- Last 