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Finding the Fourth Proportional to 739.27, 1,109.00 and 252.19

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Solution

The fourth proportional to 739.27, 1,109.00 and 252.19 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.27 : 1,109.00 = 252.19 : x
  2. Step 2: Convert to fraction form
    739.27/1,109.00 = 252.19/x
  3. Step 3: Cross multiply
    739.27x = 1,109.00 × 252.19
  4. Step 4: Simplify right side
    739.27x = 279,676.57
  5. Step 5: Solve for x
    x = 279,676.57/739.27
  6. Step 6: Final answer
    x = 378.32

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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.