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Finding the Fourth Proportional to 827.34, 1,241.07 and 824.37

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Solution

The fourth proportional to 827.34, 1,241.07 and 824.37 is: 1,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.34 : 1,241.07 = 824.37 : x
  2. Step 2: Convert to fraction form
    827.34/1,241.07 = 824.37/x
  3. Step 3: Cross multiply
    827.34x = 1,241.07 × 824.37
  4. Step 4: Simplify right side
    827.34x = 1,023,100.88
  5. Step 5: Solve for x
    x = 1,023,100.88/827.34
  6. Step 6: Final answer
    x = 1,236.61

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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.