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Finding the Fourth Proportional to 692.52, 954.92 and 471.08

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Solution

The fourth proportional to 692.52, 954.92 and 471.08 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.52 : 954.92 = 471.08 : x
  2. Step 2: Convert to fraction form
    692.52/954.92 = 471.08/x
  3. Step 3: Cross multiply
    692.52x = 954.92 × 471.08
  4. Step 4: Simplify right side
    692.52x = 449,836.58
  5. Step 5: Solve for x
    x = 449,836.58/692.52
  6. Step 6: Final answer
    x = 649.56

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Why These Related Problems?

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