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Finding the Fourth Proportional to 819.14, 1,229.34 and 429.24

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Solution

The fourth proportional to 819.14, 1,229.34 and 429.24 is: 644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.14 : 1,229.34 = 429.24 : x
  2. Step 2: Convert to fraction form
    819.14/1,229.34 = 429.24/x
  3. Step 3: Cross multiply
    819.14x = 1,229.34 × 429.24
  4. Step 4: Simplify right side
    819.14x = 527,681.90
  5. Step 5: Solve for x
    x = 527,681.90/819.14
  6. Step 6: Final answer
    x = 644.19

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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.