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Finding the Fourth Proportional to 748.64, 1,033.36 and 560.52

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Solution

The fourth proportional to 748.64, 1,033.36 and 560.52 is: 773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.64 : 1,033.36 = 560.52 : x
  2. Step 2: Convert to fraction form
    748.64/1,033.36 = 560.52/x
  3. Step 3: Cross multiply
    748.64x = 1,033.36 × 560.52
  4. Step 4: Simplify right side
    748.64x = 579,217.55
  5. Step 5: Solve for x
    x = 579,217.55/748.64
  6. Step 6: Final answer
    x = 773.69

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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.