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Finding the Fourth Proportional to 827.24, 1,241.07 and 462.27

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Solution

The fourth proportional to 827.24, 1,241.07 and 462.27 is: 693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,241.07 = 462.27 : x
  2. Step 2: Convert to fraction form
    827.24/1,241.07 = 462.27/x
  3. Step 3: Cross multiply
    827.24x = 1,241.07 × 462.27
  4. Step 4: Simplify right side
    827.24x = 573,707.12
  5. Step 5: Solve for x
    x = 573,707.12/827.24
  6. Step 6: Final answer
    x = 693.52

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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.