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Finding the Fourth Proportional to 1,105.67, 1,659.08 and 735.73

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Solution

The fourth proportional to 1,105.67, 1,659.08 and 735.73 is: 1,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.67 : 1,659.08 = 735.73 : x
  2. Step 2: Convert to fraction form
    1,105.67/1,659.08 = 735.73/x
  3. Step 3: Cross multiply
    1,105.67x = 1,659.08 × 735.73
  4. Step 4: Simplify right side
    1,105.67x = 1,220,632.62
  5. Step 5: Solve for x
    x = 1,220,632.62/1,105.67
  6. Step 6: Final answer
    x = 1,103.97

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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.