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Finding the Fourth Proportional to 866.12, 1,299.37 and 249.83

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Solution

The fourth proportional to 866.12, 1,299.37 and 249.83 is: 374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.12 : 1,299.37 = 249.83 : x
  2. Step 2: Convert to fraction form
    866.12/1,299.37 = 249.83/x
  3. Step 3: Cross multiply
    866.12x = 1,299.37 × 249.83
  4. Step 4: Simplify right side
    866.12x = 324,621.61
  5. Step 5: Solve for x
    x = 324,621.61/866.12
  6. Step 6: Final answer
    x = 374.80

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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.