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Finding the Fourth Proportional to 800, 1,104.12 and 489.68

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Solution

The fourth proportional to 800, 1,104.12 and 489.68 is: 675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    800 : 1,104.12 = 489.68 : x
  2. Step 2: Convert to fraction form
    800/1,104.12 = 489.68/x
  3. Step 3: Cross multiply
    800x = 1,104.12 × 489.68
  4. Step 4: Simplify right side
    800x = 540,665.48
  5. Step 5: Solve for x
    x = 540,665.48/800
  6. Step 6: Final answer
    x = 675.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.