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Finding the Fourth Proportional to 819.66, 1,228.41 and 453.90

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Solution

The fourth proportional to 819.66, 1,228.41 and 453.90 is: 680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.66 : 1,228.41 = 453.90 : x
  2. Step 2: Convert to fraction form
    819.66/1,228.41 = 453.90/x
  3. Step 3: Cross multiply
    819.66x = 1,228.41 × 453.90
  4. Step 4: Simplify right side
    819.66x = 557,575.30
  5. Step 5: Solve for x
    x = 557,575.30/819.66
  6. Step 6: Final answer
    x = 680.25

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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.