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Finding the Fourth Proportional to 1,447.26, 1,996.97 and 817.71

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Solution

The fourth proportional to 1,447.26, 1,996.97 and 817.71 is: 1,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.26 : 1,996.97 = 817.71 : x
  2. Step 2: Convert to fraction form
    1,447.26/1,996.97 = 817.71/x
  3. Step 3: Cross multiply
    1,447.26x = 1,996.97 × 817.71
  4. Step 4: Simplify right side
    1,447.26x = 1,632,942.34
  5. Step 5: Solve for x
    x = 1,632,942.34/1,447.26
  6. Step 6: Final answer
    x = 1,128.30

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