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Finding the Fourth Proportional to 752.71, 1,037.51 and 542.59

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Solution

The fourth proportional to 752.71, 1,037.51 and 542.59 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.71 : 1,037.51 = 542.59 : x
  2. Step 2: Convert to fraction form
    752.71/1,037.51 = 542.59/x
  3. Step 3: Cross multiply
    752.71x = 1,037.51 × 542.59
  4. Step 4: Simplify right side
    752.71x = 562,942.20
  5. Step 5: Solve for x
    x = 562,942.20/752.71
  6. Step 6: Final answer
    x = 747.89

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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.