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Finding the Fourth Proportional to 1,020.92, 1,531.79 and 371.71

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Solution

The fourth proportional to 1,020.92, 1,531.79 and 371.71 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.92 : 1,531.79 = 371.71 : x
  2. Step 2: Convert to fraction form
    1,020.92/1,531.79 = 371.71/x
  3. Step 3: Cross multiply
    1,020.92x = 1,531.79 × 371.71
  4. Step 4: Simplify right side
    1,020.92x = 569,372.14
  5. Step 5: Solve for x
    x = 569,372.14/1,020.92
  6. Step 6: Final answer
    x = 557.70

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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.