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Finding the Fourth Proportional to 1,379.26, 2,067.85 and 831.32

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Solution

The fourth proportional to 1,379.26, 2,067.85 and 831.32 is: 1,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.26 : 2,067.85 = 831.32 : x
  2. Step 2: Convert to fraction form
    1,379.26/2,067.85 = 831.32/x
  3. Step 3: Cross multiply
    1,379.26x = 2,067.85 × 831.32
  4. Step 4: Simplify right side
    1,379.26x = 1,719,045.06
  5. Step 5: Solve for x
    x = 1,719,045.06/1,379.26
  6. Step 6: Final answer
    x = 1,246.35

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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.