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Finding the Fourth Proportional to 739.11, 1,108.66 and 191.24

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Solution

The fourth proportional to 739.11, 1,108.66 and 191.24 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.11 : 1,108.66 = 191.24 : x
  2. Step 2: Convert to fraction form
    739.11/1,108.66 = 191.24/x
  3. Step 3: Cross multiply
    739.11x = 1,108.66 × 191.24
  4. Step 4: Simplify right side
    739.11x = 212,022.43
  5. Step 5: Solve for x
    x = 212,022.43/739.11
  6. Step 6: Final answer
    x = 286.86

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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.