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Finding the Fourth Proportional to 819.14, 1,229.30 and 511.44

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Solution

The fourth proportional to 819.14, 1,229.30 and 511.44 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.14 : 1,229.30 = 511.44 : x
  2. Step 2: Convert to fraction form
    819.14/1,229.30 = 511.44/x
  3. Step 3: Cross multiply
    819.14x = 1,229.30 × 511.44
  4. Step 4: Simplify right side
    819.14x = 628,713.19
  5. Step 5: Solve for x
    x = 628,713.19/819.14
  6. Step 6: Final answer
    x = 767.53

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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.