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Finding the Fourth Proportional to 827.52, 1,131.84 and 814.08

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Solution

The fourth proportional to 827.52, 1,131.84 and 814.08 is: 1,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,131.84 = 814.08 : x
  2. Step 2: Convert to fraction form
    827.52/1,131.84 = 814.08/x
  3. Step 3: Cross multiply
    827.52x = 1,131.84 × 814.08
  4. Step 4: Simplify right side
    827.52x = 921,408.31
  5. Step 5: Solve for x
    x = 921,408.31/827.52
  6. Step 6: Final answer
    x = 1,113.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.