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Finding the Fourth Proportional to 752.25, 1,040.27 and 717.87

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Solution

The fourth proportional to 752.25, 1,040.27 and 717.87 is: 992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.25 : 1,040.27 = 717.87 : x
  2. Step 2: Convert to fraction form
    752.25/1,040.27 = 717.87/x
  3. Step 3: Cross multiply
    752.25x = 1,040.27 × 717.87
  4. Step 4: Simplify right side
    752.25x = 746,775.04
  5. Step 5: Solve for x
    x = 746,775.04/752.25
  6. Step 6: Final answer
    x = 992.72

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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.