Poor is related to Peasant. Peasant is the opposite of Royal. 
Pine is etymologically related to Pain. Pine is related to Christmas. Christmas is related to Date. Date is a synonym of Engagement. 
Poor <--RelatedTo--> Peasant <--Antonym--> Royal 
Pain <--EtymologicallyRelatedTo-- Pine <--RelatedTo--> Christmas <--RelatedTo--> Date <--Synonym--> Engagement 