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Finding the Fourth Proportional to 803.96, 1,109.14 and 489.09

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Solution

The fourth proportional to 803.96, 1,109.14 and 489.09 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.96 : 1,109.14 = 489.09 : x
  2. Step 2: Convert to fraction form
    803.96/1,109.14 = 489.09/x
  3. Step 3: Cross multiply
    803.96x = 1,109.14 × 489.09
  4. Step 4: Simplify right side
    803.96x = 542,469.28
  5. Step 5: Solve for x
    x = 542,469.28/803.96
  6. Step 6: Final answer
    x = 674.75

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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.