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Finding the Fourth Proportional to 819.23, 1,229.34 and 408.39

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Solution

The fourth proportional to 819.23, 1,229.34 and 408.39 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.23 : 1,229.34 = 408.39 : x
  2. Step 2: Convert to fraction form
    819.23/1,229.34 = 408.39/x
  3. Step 3: Cross multiply
    819.23x = 1,229.34 × 408.39
  4. Step 4: Simplify right side
    819.23x = 502,050.16
  5. Step 5: Solve for x
    x = 502,050.16/819.23
  6. Step 6: Final answer
    x = 612.84

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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.