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Finding the Fourth Proportional to 752.72, 1,036.82 and 531.28

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Solution

The fourth proportional to 752.72, 1,036.82 and 531.28 is: 731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,036.82 = 531.28 : x
  2. Step 2: Convert to fraction form
    752.72/1,036.82 = 531.28/x
  3. Step 3: Cross multiply
    752.72x = 1,036.82 × 531.28
  4. Step 4: Simplify right side
    752.72x = 550,841.73
  5. Step 5: Solve for x
    x = 550,841.73/752.72
  6. Step 6: Final answer
    x = 731.80

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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.