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Finding the Fourth Proportional to 739.54, 1,109.31 and 191.71

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Solution

The fourth proportional to 739.54, 1,109.31 and 191.71 is: 287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.54 : 1,109.31 = 191.71 : x
  2. Step 2: Convert to fraction form
    739.54/1,109.31 = 191.71/x
  3. Step 3: Cross multiply
    739.54x = 1,109.31 × 191.71
  4. Step 4: Simplify right side
    739.54x = 212,665.82
  5. Step 5: Solve for x
    x = 212,665.82/739.54
  6. Step 6: Final answer
    x = 287.57

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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.