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Finding the Fourth Proportional to 692.12, 1,038.18 and 475.04

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Solution

The fourth proportional to 692.12, 1,038.18 and 475.04 is: 712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 1,038.18 = 475.04 : x
  2. Step 2: Convert to fraction form
    692.12/1,038.18 = 475.04/x
  3. Step 3: Cross multiply
    692.12x = 1,038.18 × 475.04
  4. Step 4: Simplify right side
    692.12x = 493,177.03
  5. Step 5: Solve for x
    x = 493,177.03/692.12
  6. Step 6: Final answer
    x = 712.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.