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Finding the Fourth Proportional to 800.92, 1,202.16 and 512.56

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Solution

The fourth proportional to 800.92, 1,202.16 and 512.56 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.92 : 1,202.16 = 512.56 : x
  2. Step 2: Convert to fraction form
    800.92/1,202.16 = 512.56/x
  3. Step 3: Cross multiply
    800.92x = 1,202.16 × 512.56
  4. Step 4: Simplify right side
    800.92x = 616,179.13
  5. Step 5: Solve for x
    x = 616,179.13/800.92
  6. Step 6: Final answer
    x = 769.34

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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.