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Finding the Fourth Proportional to 1,371.78, 2,057.85 and 823.86

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Solution

The fourth proportional to 1,371.78, 2,057.85 and 823.86 is: 1,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.78 : 2,057.85 = 823.86 : x
  2. Step 2: Convert to fraction form
    1,371.78/2,057.85 = 823.86/x
  3. Step 3: Cross multiply
    1,371.78x = 2,057.85 × 823.86
  4. Step 4: Simplify right side
    1,371.78x = 1,695,380.30
  5. Step 5: Solve for x
    x = 1,695,380.30/1,371.78
  6. Step 6: Final answer
    x = 1,235.90

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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.