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Finding the Fourth Proportional to 752.74, 1,039.17 and 519.46

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Solution

The fourth proportional to 752.74, 1,039.17 and 519.46 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.74 : 1,039.17 = 519.46 : x
  2. Step 2: Convert to fraction form
    752.74/1,039.17 = 519.46/x
  3. Step 3: Cross multiply
    752.74x = 1,039.17 × 519.46
  4. Step 4: Simplify right side
    752.74x = 539,807.25
  5. Step 5: Solve for x
    x = 539,807.25/752.74
  6. Step 6: Final answer
    x = 717.12

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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.