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Finding the Fourth Proportional to 1,331.73, 2,001.38 and 784.17

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Solution

The fourth proportional to 1,331.73, 2,001.38 and 784.17 is: 1,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.73 : 2,001.38 = 784.17 : x
  2. Step 2: Convert to fraction form
    1,331.73/2,001.38 = 784.17/x
  3. Step 3: Cross multiply
    1,331.73x = 2,001.38 × 784.17
  4. Step 4: Simplify right side
    1,331.73x = 1,569,418.23
  5. Step 5: Solve for x
    x = 1,569,418.23/1,331.73
  6. Step 6: Final answer
    x = 1,178.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.