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Finding the Fourth Proportional to 748.71, 1,033.56 and 553.23

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Solution

The fourth proportional to 748.71, 1,033.56 and 553.23 is: 763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.71 : 1,033.56 = 553.23 : x
  2. Step 2: Convert to fraction form
    748.71/1,033.56 = 553.23/x
  3. Step 3: Cross multiply
    748.71x = 1,033.56 × 553.23
  4. Step 4: Simplify right side
    748.71x = 571,796.40
  5. Step 5: Solve for x
    x = 571,796.40/748.71
  6. Step 6: Final answer
    x = 763.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.