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Finding the Fourth Proportional to 880.72, 1,213.64 and 842.96

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Solution

The fourth proportional to 880.72, 1,213.64 and 842.96 is: 1,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.72 : 1,213.64 = 842.96 : x
  2. Step 2: Convert to fraction form
    880.72/1,213.64 = 842.96/x
  3. Step 3: Cross multiply
    880.72x = 1,213.64 × 842.96
  4. Step 4: Simplify right side
    880.72x = 1,023,049.97
  5. Step 5: Solve for x
    x = 1,023,049.97/880.72
  6. Step 6: Final answer
    x = 1,161.61

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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.