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Finding the Fourth Proportional to 1,227.56, 1,839.97 and 446.92

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Solution

The fourth proportional to 1,227.56, 1,839.97 and 446.92 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.56 : 1,839.97 = 446.92 : x
  2. Step 2: Convert to fraction form
    1,227.56/1,839.97 = 446.92/x
  3. Step 3: Cross multiply
    1,227.56x = 1,839.97 × 446.92
  4. Step 4: Simplify right side
    1,227.56x = 822,312.84
  5. Step 5: Solve for x
    x = 822,312.84/1,227.56
  6. Step 6: Final answer
    x = 669.88

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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.