Advanced ratio problems combine multiple concepts: properties of ratios, proportion theorems, and variation. Compound ratio problems: If a:b = 2:3 and b:c = 4:5, find a:b:c by finding LCM of middle term ratio parts (3 and 4 = 12), then a:b = 8:12, b:c = 12:15, so a:b:c = 8:12:15. Multiple ratio problems: Use continued proportions for chains. Shortcut: Work backwards from answer choices in MCQs. Exam tip: These problems test speed and accuracy. Practice pattern recognition for common ratio combinations. Verify using actual numbers before finalizing.