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Finding the Fourth Proportional to 746.62, 1,028.88 and 560.32

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Solution

The fourth proportional to 746.62, 1,028.88 and 560.32 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.62 : 1,028.88 = 560.32 : x
  2. Step 2: Convert to fraction form
    746.62/1,028.88 = 560.32/x
  3. Step 3: Cross multiply
    746.62x = 1,028.88 × 560.32
  4. Step 4: Simplify right side
    746.62x = 576,502.04
  5. Step 5: Solve for x
    x = 576,502.04/746.62
  6. Step 6: Final answer
    x = 772.15

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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.