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Finding the Fourth Proportional to 817.97, 1,227.17 and 298.02

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Solution

The fourth proportional to 817.97, 1,227.17 and 298.02 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.97 : 1,227.17 = 298.02 : x
  2. Step 2: Convert to fraction form
    817.97/1,227.17 = 298.02/x
  3. Step 3: Cross multiply
    817.97x = 1,227.17 × 298.02
  4. Step 4: Simplify right side
    817.97x = 365,721.20
  5. Step 5: Solve for x
    x = 365,721.20/817.97
  6. Step 6: Final answer
    x = 447.11

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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.