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Finding the Fourth Proportional to 829.56, 1,244.15 and 281.73

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Solution

The fourth proportional to 829.56, 1,244.15 and 281.73 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,244.15 = 281.73 : x
  2. Step 2: Convert to fraction form
    829.56/1,244.15 = 281.73/x
  3. Step 3: Cross multiply
    829.56x = 1,244.15 × 281.73
  4. Step 4: Simplify right side
    829.56x = 350,512.97
  5. Step 5: Solve for x
    x = 350,512.97/829.56
  6. Step 6: Final answer
    x = 422.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.