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Finding the Fourth Proportional to 819.24, 1,229.96 and 511.72

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Solution

The fourth proportional to 819.24, 1,229.96 and 511.72 is: 768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.24 : 1,229.96 = 511.72 : x
  2. Step 2: Convert to fraction form
    819.24/1,229.96 = 511.72/x
  3. Step 3: Cross multiply
    819.24x = 1,229.96 × 511.72
  4. Step 4: Simplify right side
    819.24x = 629,395.13
  5. Step 5: Solve for x
    x = 629,395.13/819.24
  6. Step 6: Final answer
    x = 768.27

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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.