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Finding the Fourth Proportional to 827.10, 1,240.47 and 241.97

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Solution

The fourth proportional to 827.10, 1,240.47 and 241.97 is: 362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.10 : 1,240.47 = 241.97 : x
  2. Step 2: Convert to fraction form
    827.10/1,240.47 = 241.97/x
  3. Step 3: Cross multiply
    827.10x = 1,240.47 × 241.97
  4. Step 4: Simplify right side
    827.10x = 300,150.32
  5. Step 5: Solve for x
    x = 300,150.32/827.10
  6. Step 6: Final answer
    x = 362.89

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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.