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Finding the Fourth Proportional to 827.28, 1,241.17 and 279.83

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Solution

The fourth proportional to 827.28, 1,241.17 and 279.83 is: 419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.28 : 1,241.17 = 279.83 : x
  2. Step 2: Convert to fraction form
    827.28/1,241.17 = 279.83/x
  3. Step 3: Cross multiply
    827.28x = 1,241.17 × 279.83
  4. Step 4: Simplify right side
    827.28x = 347,319.00
  5. Step 5: Solve for x
    x = 347,319.00/827.28
  6. Step 6: Final answer
    x = 419.83

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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.