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Finding the Fourth Proportional to 819.63, 1,229.67 and 408.27

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Solution

The fourth proportional to 819.63, 1,229.67 and 408.27 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.63 : 1,229.67 = 408.27 : x
  2. Step 2: Convert to fraction form
    819.63/1,229.67 = 408.27/x
  3. Step 3: Cross multiply
    819.63x = 1,229.67 × 408.27
  4. Step 4: Simplify right side
    819.63x = 502,037.37
  5. Step 5: Solve for x
    x = 502,037.37/819.63
  6. Step 6: Final answer
    x = 612.52

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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.