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Finding the Fourth Proportional to 827.69, 1,241.76 and 462.74

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Solution

The fourth proportional to 827.69, 1,241.76 and 462.74 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.69 : 1,241.76 = 462.74 : x
  2. Step 2: Convert to fraction form
    827.69/1,241.76 = 462.74/x
  3. Step 3: Cross multiply
    827.69x = 1,241.76 × 462.74
  4. Step 4: Simplify right side
    827.69x = 574,612.02
  5. Step 5: Solve for x
    x = 574,612.02/827.69
  6. Step 6: Final answer
    x = 694.24

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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.