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Finding the Fourth Proportional to 1,091.86, 1,635.50 and 814.61

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Solution

The fourth proportional to 1,091.86, 1,635.50 and 814.61 is: 1,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.86 : 1,635.50 = 814.61 : x
  2. Step 2: Convert to fraction form
    1,091.86/1,635.50 = 814.61/x
  3. Step 3: Cross multiply
    1,091.86x = 1,635.50 × 814.61
  4. Step 4: Simplify right side
    1,091.86x = 1,332,294.66
  5. Step 5: Solve for x
    x = 1,332,294.66/1,091.86
  6. Step 6: Final answer
    x = 1,220.21

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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.