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Finding the Fourth Proportional to 819.71, 1,229.52 and 203.39

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Solution

The fourth proportional to 819.71, 1,229.52 and 203.39 is: 305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.71 : 1,229.52 = 203.39 : x
  2. Step 2: Convert to fraction form
    819.71/1,229.52 = 203.39/x
  3. Step 3: Cross multiply
    819.71x = 1,229.52 × 203.39
  4. Step 4: Simplify right side
    819.71x = 250,071.30
  5. Step 5: Solve for x
    x = 250,071.30/819.71
  6. Step 6: Final answer
    x = 305.07

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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.