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Finding the Fourth Proportional to 817.97, 1,227.31 and 433.13

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Solution

The fourth proportional to 817.97, 1,227.31 and 433.13 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.97 : 1,227.31 = 433.13 : x
  2. Step 2: Convert to fraction form
    817.97/1,227.31 = 433.13/x
  3. Step 3: Cross multiply
    817.97x = 1,227.31 × 433.13
  4. Step 4: Simplify right side
    817.97x = 531,577.56
  5. Step 5: Solve for x
    x = 531,577.56/817.97
  6. Step 6: Final answer
    x = 649.88

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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.