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Finding the Fourth Proportional to 778.05, 1,163.66 and 691.97

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Solution

The fourth proportional to 778.05, 1,163.66 and 691.97 is: 1,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.05 : 1,163.66 = 691.97 : x
  2. Step 2: Convert to fraction form
    778.05/1,163.66 = 691.97/x
  3. Step 3: Cross multiply
    778.05x = 1,163.66 × 691.97
  4. Step 4: Simplify right side
    778.05x = 805,208.53
  5. Step 5: Solve for x
    x = 805,208.53/778.05
  6. Step 6: Final answer
    x = 1,034.91

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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.