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Finding the Fourth Proportional to 819.27, 1,227.15 and 557.82

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Solution

The fourth proportional to 819.27, 1,227.15 and 557.82 is: 835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.27 : 1,227.15 = 557.82 : x
  2. Step 2: Convert to fraction form
    819.27/1,227.15 = 557.82/x
  3. Step 3: Cross multiply
    819.27x = 1,227.15 × 557.82
  4. Step 4: Simplify right side
    819.27x = 684,528.81
  5. Step 5: Solve for x
    x = 684,528.81/819.27
  6. Step 6: Final answer
    x = 835.54

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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.