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Finding the Fourth Proportional to 1,447.40, 1,997.26 and 817.96

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Solution

The fourth proportional to 1,447.40, 1,997.26 and 817.96 is: 1,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.40 : 1,997.26 = 817.96 : x
  2. Step 2: Convert to fraction form
    1,447.40/1,997.26 = 817.96/x
  3. Step 3: Cross multiply
    1,447.40x = 1,997.26 × 817.96
  4. Step 4: Simplify right side
    1,447.40x = 1,633,678.79
  5. Step 5: Solve for x
    x = 1,633,678.79/1,447.40
  6. Step 6: Final answer
    x = 1,128.70

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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.