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Finding the Fourth Proportional to 827.70, 1,241.86 and 596.85

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Solution

The fourth proportional to 827.70, 1,241.86 and 596.85 is: 895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.70 : 1,241.86 = 596.85 : x
  2. Step 2: Convert to fraction form
    827.70/1,241.86 = 596.85/x
  3. Step 3: Cross multiply
    827.70x = 1,241.86 × 596.85
  4. Step 4: Simplify right side
    827.70x = 741,201.16
  5. Step 5: Solve for x
    x = 741,201.16/827.70
  6. Step 6: Final answer
    x = 895.49

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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.