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Finding the Fourth Proportional to 1,379.20, 2,067.36 and 685.12

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Solution

The fourth proportional to 1,379.20, 2,067.36 and 685.12 is: 1,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.20 : 2,067.36 = 685.12 : x
  2. Step 2: Convert to fraction form
    1,379.20/2,067.36 = 685.12/x
  3. Step 3: Cross multiply
    1,379.20x = 2,067.36 × 685.12
  4. Step 4: Simplify right side
    1,379.20x = 1,416,389.68
  5. Step 5: Solve for x
    x = 1,416,389.68/1,379.20
  6. Step 6: Final answer
    x = 1,026.96

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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.