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Finding the Fourth Proportional to 819.10, 1,227.84 and 385.75

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Solution

The fourth proportional to 819.10, 1,227.84 and 385.75 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.10 : 1,227.84 = 385.75 : x
  2. Step 2: Convert to fraction form
    819.10/1,227.84 = 385.75/x
  3. Step 3: Cross multiply
    819.10x = 1,227.84 × 385.75
  4. Step 4: Simplify right side
    819.10x = 473,639.28
  5. Step 5: Solve for x
    x = 473,639.28/819.10
  6. Step 6: Final answer
    x = 578.24

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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.