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Finding the Fourth Proportional to 827.29, 1,240.94 and 279.43

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Solution

The fourth proportional to 827.29, 1,240.94 and 279.43 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.29 : 1,240.94 = 279.43 : x
  2. Step 2: Convert to fraction form
    827.29/1,240.94 = 279.43/x
  3. Step 3: Cross multiply
    827.29x = 1,240.94 × 279.43
  4. Step 4: Simplify right side
    827.29x = 346,755.86
  5. Step 5: Solve for x
    x = 346,755.86/827.29
  6. Step 6: Final answer
    x = 419.15

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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.