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Finding the Fourth Proportional to 739.39, 1,109.31 and 465.07

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Solution

The fourth proportional to 739.39, 1,109.31 and 465.07 is: 697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.39 : 1,109.31 = 465.07 : x
  2. Step 2: Convert to fraction form
    739.39/1,109.31 = 465.07/x
  3. Step 3: Cross multiply
    739.39x = 1,109.31 × 465.07
  4. Step 4: Simplify right side
    739.39x = 515,906.80
  5. Step 5: Solve for x
    x = 515,906.80/739.39
  6. Step 6: Final answer
    x = 697.75

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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.