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Finding the Fourth Proportional to 1,121.68, 1,546.92 and 827.68

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Solution

The fourth proportional to 1,121.68, 1,546.92 and 827.68 is: 1,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.68 : 1,546.92 = 827.68 : x
  2. Step 2: Convert to fraction form
    1,121.68/1,546.92 = 827.68/x
  3. Step 3: Cross multiply
    1,121.68x = 1,546.92 × 827.68
  4. Step 4: Simplify right side
    1,121.68x = 1,280,354.75
  5. Step 5: Solve for x
    x = 1,280,354.75/1,121.68
  6. Step 6: Final answer
    x = 1,141.46

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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.