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Finding the Fourth Proportional to 827.96, 1,242.07 and 272.50

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Solution

The fourth proportional to 827.96, 1,242.07 and 272.50 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.96 : 1,242.07 = 272.50 : x
  2. Step 2: Convert to fraction form
    827.96/1,242.07 = 272.50/x
  3. Step 3: Cross multiply
    827.96x = 1,242.07 × 272.50
  4. Step 4: Simplify right side
    827.96x = 338,460.29
  5. Step 5: Solve for x
    x = 338,460.29/827.96
  6. Step 6: Final answer
    x = 408.79

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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.