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Finding the Fourth Proportional to 827.54, 1,241.43 and 250.46

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Solution

The fourth proportional to 827.54, 1,241.43 and 250.46 is: 375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.54 : 1,241.43 = 250.46 : x
  2. Step 2: Convert to fraction form
    827.54/1,241.43 = 250.46/x
  3. Step 3: Cross multiply
    827.54x = 1,241.43 × 250.46
  4. Step 4: Simplify right side
    827.54x = 310,928.56
  5. Step 5: Solve for x
    x = 310,928.56/827.54
  6. Step 6: Final answer
    x = 375.73

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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.