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Finding the Fourth Proportional to 819.92, 1,229.78 and 242.84

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Solution

The fourth proportional to 819.92, 1,229.78 and 242.84 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.92 : 1,229.78 = 242.84 : x
  2. Step 2: Convert to fraction form
    819.92/1,229.78 = 242.84/x
  3. Step 3: Cross multiply
    819.92x = 1,229.78 × 242.84
  4. Step 4: Simplify right side
    819.92x = 298,639.78
  5. Step 5: Solve for x
    x = 298,639.78/819.92
  6. Step 6: Final answer
    x = 364.23

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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.