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Finding the Fourth Proportional to 1,191.75, 1,785.54 and 826.77

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Solution

The fourth proportional to 1,191.75, 1,785.54 and 826.77 is: 1,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.75 : 1,785.54 = 826.77 : x
  2. Step 2: Convert to fraction form
    1,191.75/1,785.54 = 826.77/x
  3. Step 3: Cross multiply
    1,191.75x = 1,785.54 × 826.77
  4. Step 4: Simplify right side
    1,191.75x = 1,476,230.91
  5. Step 5: Solve for x
    x = 1,476,230.91/1,191.75
  6. Step 6: Final answer
    x = 1,238.71

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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.