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Finding the Fourth Proportional to 692.08, 954.72 and 471.04

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Solution

The fourth proportional to 692.08, 954.72 and 471.04 is: 649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 954.72 = 471.04 : x
  2. Step 2: Convert to fraction form
    692.08/954.72 = 471.04/x
  3. Step 3: Cross multiply
    692.08x = 954.72 × 471.04
  4. Step 4: Simplify right side
    692.08x = 449,711.31
  5. Step 5: Solve for x
    x = 449,711.31/692.08
  6. Step 6: Final answer
    x = 649.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.