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Finding the Fourth Proportional to 819.84, 1,228.86 and 408.87

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Solution

The fourth proportional to 819.84, 1,228.86 and 408.87 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,228.86 = 408.87 : x
  2. Step 2: Convert to fraction form
    819.84/1,228.86 = 408.87/x
  3. Step 3: Cross multiply
    819.84x = 1,228.86 × 408.87
  4. Step 4: Simplify right side
    819.84x = 502,443.99
  5. Step 5: Solve for x
    x = 502,443.99/819.84
  6. Step 6: Final answer
    x = 612.86

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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.