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Finding the Fourth Proportional to 862.11, 1,286.64 and 779.07

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Solution

The fourth proportional to 862.11, 1,286.64 and 779.07 is: 1,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.11 : 1,286.64 = 779.07 : x
  2. Step 2: Convert to fraction form
    862.11/1,286.64 = 779.07/x
  3. Step 3: Cross multiply
    862.11x = 1,286.64 × 779.07
  4. Step 4: Simplify right side
    862.11x = 1,002,382.62
  5. Step 5: Solve for x
    x = 1,002,382.62/862.11
  6. Step 6: Final answer
    x = 1,162.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.