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Finding the Fourth Proportional to 1,037.71, 1,432.17 and 595.75

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Solution

The fourth proportional to 1,037.71, 1,432.17 and 595.75 is: 822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.71 : 1,432.17 = 595.75 : x
  2. Step 2: Convert to fraction form
    1,037.71/1,432.17 = 595.75/x
  3. Step 3: Cross multiply
    1,037.71x = 1,432.17 × 595.75
  4. Step 4: Simplify right side
    1,037.71x = 853,215.28
  5. Step 5: Solve for x
    x = 853,215.28/1,037.71
  6. Step 6: Final answer
    x = 822.21

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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.