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Finding the Fourth Proportional to 752.17, 1,034.28 and 729.10

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Solution

The fourth proportional to 752.17, 1,034.28 and 729.10 is: 1,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.17 : 1,034.28 = 729.10 : x
  2. Step 2: Convert to fraction form
    752.17/1,034.28 = 729.10/x
  3. Step 3: Cross multiply
    752.17x = 1,034.28 × 729.10
  4. Step 4: Simplify right side
    752.17x = 754,093.55
  5. Step 5: Solve for x
    x = 754,093.55/752.17
  6. Step 6: Final answer
    x = 1,002.56

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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.