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Finding the Fourth Proportional to 827.46, 1,241.60 and 462.42

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Solution

The fourth proportional to 827.46, 1,241.60 and 462.42 is: 693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.46 : 1,241.60 = 462.42 : x
  2. Step 2: Convert to fraction form
    827.46/1,241.60 = 462.42/x
  3. Step 3: Cross multiply
    827.46x = 1,241.60 × 462.42
  4. Step 4: Simplify right side
    827.46x = 574,138.36
  5. Step 5: Solve for x
    x = 574,138.36/827.46
  6. Step 6: Final answer
    x = 693.86

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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.