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Finding the Fourth Proportional to 817.87, 1,227.52 and 422.82

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Solution

The fourth proportional to 817.87, 1,227.52 and 422.82 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.87 : 1,227.52 = 422.82 : x
  2. Step 2: Convert to fraction form
    817.87/1,227.52 = 422.82/x
  3. Step 3: Cross multiply
    817.87x = 1,227.52 × 422.82
  4. Step 4: Simplify right side
    817.87x = 519,020.96
  5. Step 5: Solve for x
    x = 519,020.96/817.87
  6. Step 6: Final answer
    x = 634.60

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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.