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Finding the Fourth Proportional to 1,091.96, 1,634.28 and 827.69

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Solution

The fourth proportional to 1,091.96, 1,634.28 and 827.69 is: 1,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.96 : 1,634.28 = 827.69 : x
  2. Step 2: Convert to fraction form
    1,091.96/1,634.28 = 827.69/x
  3. Step 3: Cross multiply
    1,091.96x = 1,634.28 × 827.69
  4. Step 4: Simplify right side
    1,091.96x = 1,352,677.21
  5. Step 5: Solve for x
    x = 1,352,677.21/1,091.96
  6. Step 6: Final answer
    x = 1,238.76

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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.