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Finding the Fourth Proportional to 691.57, 1,037.82 and 474.76

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Solution

The fourth proportional to 691.57, 1,037.82 and 474.76 is: 712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.57 : 1,037.82 = 474.76 : x
  2. Step 2: Convert to fraction form
    691.57/1,037.82 = 474.76/x
  3. Step 3: Cross multiply
    691.57x = 1,037.82 × 474.76
  4. Step 4: Simplify right side
    691.57x = 492,710.23
  5. Step 5: Solve for x
    x = 492,710.23/691.57
  6. Step 6: Final answer
    x = 712.46

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