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Finding the Fourth Proportional to 827.14, 1,237.50 and 596.56

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Solution

The fourth proportional to 827.14, 1,237.50 and 596.56 is: 892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.14 : 1,237.50 = 596.56 : x
  2. Step 2: Convert to fraction form
    827.14/1,237.50 = 596.56/x
  3. Step 3: Cross multiply
    827.14x = 1,237.50 × 596.56
  4. Step 4: Simplify right side
    827.14x = 738,243.00
  5. Step 5: Solve for x
    x = 738,243.00/827.14
  6. Step 6: Final answer
    x = 892.52

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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.