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Finding the Fourth Proportional to 1,185.67, 1,778.69 and 363.87

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Solution

The fourth proportional to 1,185.67, 1,778.69 and 363.87 is: 545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.67 : 1,778.69 = 363.87 : x
  2. Step 2: Convert to fraction form
    1,185.67/1,778.69 = 363.87/x
  3. Step 3: Cross multiply
    1,185.67x = 1,778.69 × 363.87
  4. Step 4: Simplify right side
    1,185.67x = 647,211.93
  5. Step 5: Solve for x
    x = 647,211.93/1,185.67
  6. Step 6: Final answer
    x = 545.86

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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.