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Finding the Fourth Proportional to 827.11, 1,140.64 and 617.80

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Solution

The fourth proportional to 827.11, 1,140.64 and 617.80 is: 851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.11 : 1,140.64 = 617.80 : x
  2. Step 2: Convert to fraction form
    827.11/1,140.64 = 617.80/x
  3. Step 3: Cross multiply
    827.11x = 1,140.64 × 617.80
  4. Step 4: Simplify right side
    827.11x = 704,687.39
  5. Step 5: Solve for x
    x = 704,687.39/827.11
  6. Step 6: Final answer
    x = 851.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.