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Finding the Fourth Proportional to 752.44, 1,038.71 and 553.27

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Solution

The fourth proportional to 752.44, 1,038.71 and 553.27 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.44 : 1,038.71 = 553.27 : x
  2. Step 2: Convert to fraction form
    752.44/1,038.71 = 553.27/x
  3. Step 3: Cross multiply
    752.44x = 1,038.71 × 553.27
  4. Step 4: Simplify right side
    752.44x = 574,687.08
  5. Step 5: Solve for x
    x = 574,687.08/752.44
  6. Step 6: Final answer
    x = 763.76

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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.