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Finding the Fourth Proportional to 827.52, 1,240.89 and 279.33

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Solution

The fourth proportional to 827.52, 1,240.89 and 279.33 is: 418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,240.89 = 279.33 : x
  2. Step 2: Convert to fraction form
    827.52/1,240.89 = 279.33/x
  3. Step 3: Cross multiply
    827.52x = 1,240.89 × 279.33
  4. Step 4: Simplify right side
    827.52x = 346,612.10
  5. Step 5: Solve for x
    x = 346,612.10/827.52
  6. Step 6: Final answer
    x = 418.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.