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Finding the Fourth Proportional to 819.76, 1,229.40 and 271.90

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Solution

The fourth proportional to 819.76, 1,229.40 and 271.90 is: 407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.76 : 1,229.40 = 271.90 : x
  2. Step 2: Convert to fraction form
    819.76/1,229.40 = 271.90/x
  3. Step 3: Cross multiply
    819.76x = 1,229.40 × 271.90
  4. Step 4: Simplify right side
    819.76x = 334,273.86
  5. Step 5: Solve for x
    x = 334,273.86/819.76
  6. Step 6: Final answer
    x = 407.77

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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.