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Finding the Fourth Proportional to 1,772.76, 2,660.17 and 732.57

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Solution

The fourth proportional to 1,772.76, 2,660.17 and 732.57 is: 1,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.76 : 2,660.17 = 732.57 : x
  2. Step 2: Convert to fraction form
    1,772.76/2,660.17 = 732.57/x
  3. Step 3: Cross multiply
    1,772.76x = 2,660.17 × 732.57
  4. Step 4: Simplify right side
    1,772.76x = 1,948,755.72
  5. Step 5: Solve for x
    x = 1,948,755.72/1,772.76
  6. Step 6: Final answer
    x = 1,099.28

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Why These Related Problems?

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