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Finding the Fourth Proportional to 800.92, 1,105.98 and 616.24

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Solution

The fourth proportional to 800.92, 1,105.98 and 616.24 is: 850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.92 : 1,105.98 = 616.24 : x
  2. Step 2: Convert to fraction form
    800.92/1,105.98 = 616.24/x
  3. Step 3: Cross multiply
    800.92x = 1,105.98 × 616.24
  4. Step 4: Simplify right side
    800.92x = 681,549.12
  5. Step 5: Solve for x
    x = 681,549.12/800.92
  6. Step 6: Final answer
    x = 850.96

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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.