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Finding the Fourth Proportional to 827.25, 1,240.88 and 250.13

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Solution

The fourth proportional to 827.25, 1,240.88 and 250.13 is: 375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.25 : 1,240.88 = 250.13 : x
  2. Step 2: Convert to fraction form
    827.25/1,240.88 = 250.13/x
  3. Step 3: Cross multiply
    827.25x = 1,240.88 × 250.13
  4. Step 4: Simplify right side
    827.25x = 310,373.86
  5. Step 5: Solve for x
    x = 310,373.86/827.25
  6. Step 6: Final answer
    x = 375.19

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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.