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Finding the Fourth Proportional to 1,042.88, 1,560.96 and 717.28

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Solution

The fourth proportional to 1,042.88, 1,560.96 and 717.28 is: 1,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.88 : 1,560.96 = 717.28 : x
  2. Step 2: Convert to fraction form
    1,042.88/1,560.96 = 717.28/x
  3. Step 3: Cross multiply
    1,042.88x = 1,560.96 × 717.28
  4. Step 4: Simplify right side
    1,042.88x = 1,119,645.39
  5. Step 5: Solve for x
    x = 1,119,645.39/1,042.88
  6. Step 6: Final answer
    x = 1,073.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.