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Finding the Fourth Proportional to 829.55, 1,244.29 and 281.74

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Solution

The fourth proportional to 829.55, 1,244.29 and 281.74 is: 422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.55 : 1,244.29 = 281.74 : x
  2. Step 2: Convert to fraction form
    829.55/1,244.29 = 281.74/x
  3. Step 3: Cross multiply
    829.55x = 1,244.29 × 281.74
  4. Step 4: Simplify right side
    829.55x = 350,562.45
  5. Step 5: Solve for x
    x = 350,562.45/829.55
  6. Step 6: Final answer
    x = 422.59

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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.