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Finding the Fourth Proportional to 1,447.38, 1,997.17 and 817.74

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Solution

The fourth proportional to 1,447.38, 1,997.17 and 817.74 is: 1,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.38 : 1,997.17 = 817.74 : x
  2. Step 2: Convert to fraction form
    1,447.38/1,997.17 = 817.74/x
  3. Step 3: Cross multiply
    1,447.38x = 1,997.17 × 817.74
  4. Step 4: Simplify right side
    1,447.38x = 1,633,165.80
  5. Step 5: Solve for x
    x = 1,633,165.80/1,447.38
  6. Step 6: Final answer
    x = 1,128.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.