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Finding the Fourth Proportional to 1,229.83, 1,843.55 and 680.86

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Solution

The fourth proportional to 1,229.83, 1,843.55 and 680.86 is: 1,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.83 : 1,843.55 = 680.86 : x
  2. Step 2: Convert to fraction form
    1,229.83/1,843.55 = 680.86/x
  3. Step 3: Cross multiply
    1,229.83x = 1,843.55 × 680.86
  4. Step 4: Simplify right side
    1,229.83x = 1,255,186.83
  5. Step 5: Solve for x
    x = 1,255,186.83/1,229.83
  6. Step 6: Final answer
    x = 1,020.62

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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.