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Finding the Fourth Proportional to 880.66, 1,216.82 and 769.96

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Solution

The fourth proportional to 880.66, 1,216.82 and 769.96 is: 1,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.66 : 1,216.82 = 769.96 : x
  2. Step 2: Convert to fraction form
    880.66/1,216.82 = 769.96/x
  3. Step 3: Cross multiply
    880.66x = 1,216.82 × 769.96
  4. Step 4: Simplify right side
    880.66x = 936,902.73
  5. Step 5: Solve for x
    x = 936,902.73/880.66
  6. Step 6: Final answer
    x = 1,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.