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Finding the Fourth Proportional to 800, 1,103.36 and 489.28

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Solution

The fourth proportional to 800, 1,103.36 and 489.28 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    800 : 1,103.36 = 489.28 : x
  2. Step 2: Convert to fraction form
    800/1,103.36 = 489.28/x
  3. Step 3: Cross multiply
    800x = 1,103.36 × 489.28
  4. Step 4: Simplify right side
    800x = 539,851.98
  5. Step 5: Solve for x
    x = 539,851.98/800
  6. Step 6: Final answer
    x = 674.81

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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.