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Finding the Fourth Proportional to 827.78, 1,240.20 and 691.70

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Solution

The fourth proportional to 827.78, 1,240.20 and 691.70 is: 1,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.78 : 1,240.20 = 691.70 : x
  2. Step 2: Convert to fraction form
    827.78/1,240.20 = 691.70/x
  3. Step 3: Cross multiply
    827.78x = 1,240.20 × 691.70
  4. Step 4: Simplify right side
    827.78x = 857,846.34
  5. Step 5: Solve for x
    x = 857,846.34/827.78
  6. Step 6: Final answer
    x = 1,036.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.