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Finding the Fourth Proportional to 1,186.00, 1,778.15 and 363.83

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Solution

The fourth proportional to 1,186.00, 1,778.15 and 363.83 is: 545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.00 : 1,778.15 = 363.83 : x
  2. Step 2: Convert to fraction form
    1,186.00/1,778.15 = 363.83/x
  3. Step 3: Cross multiply
    1,186.00x = 1,778.15 × 363.83
  4. Step 4: Simplify right side
    1,186.00x = 646,936.33
  5. Step 5: Solve for x
    x = 646,936.33/1,186.00
  6. Step 6: Final answer
    x = 545.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.