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Finding the Fourth Proportional to 739.54, 1,109.24 and 252.54

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Solution

The fourth proportional to 739.54, 1,109.24 and 252.54 is: 378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.54 : 1,109.24 = 252.54 : x
  2. Step 2: Convert to fraction form
    739.54/1,109.24 = 252.54/x
  3. Step 3: Cross multiply
    739.54x = 1,109.24 × 252.54
  4. Step 4: Simplify right side
    739.54x = 280,127.47
  5. Step 5: Solve for x
    x = 280,127.47/739.54
  6. Step 6: Final answer
    x = 378.79

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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.