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Finding the Fourth Proportional to 1,007.67, 1,390.17 and 614.55

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Solution

The fourth proportional to 1,007.67, 1,390.17 and 614.55 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.67 : 1,390.17 = 614.55 : x
  2. Step 2: Convert to fraction form
    1,007.67/1,390.17 = 614.55/x
  3. Step 3: Cross multiply
    1,007.67x = 1,390.17 × 614.55
  4. Step 4: Simplify right side
    1,007.67x = 854,328.97
  5. Step 5: Solve for x
    x = 854,328.97/1,007.67
  6. Step 6: Final answer
    x = 847.83

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Why These Related Problems?

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