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Finding the Fourth Proportional to 827.68, 1,241.82 and 437.70

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Solution

The fourth proportional to 827.68, 1,241.82 and 437.70 is: 656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,241.82 = 437.70 : x
  2. Step 2: Convert to fraction form
    827.68/1,241.82 = 437.70/x
  3. Step 3: Cross multiply
    827.68x = 1,241.82 × 437.70
  4. Step 4: Simplify right side
    827.68x = 543,544.61
  5. Step 5: Solve for x
    x = 543,544.61/827.68
  6. Step 6: Final answer
    x = 656.71

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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.