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Finding the Fourth Proportional to 739.69, 1,105.52 and 681.31

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Solution

The fourth proportional to 739.69, 1,105.52 and 681.31 is: 1,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.69 : 1,105.52 = 681.31 : x
  2. Step 2: Convert to fraction form
    739.69/1,105.52 = 681.31/x
  3. Step 3: Cross multiply
    739.69x = 1,105.52 × 681.31
  4. Step 4: Simplify right side
    739.69x = 753,201.83
  5. Step 5: Solve for x
    x = 753,201.83/739.69
  6. Step 6: Final answer
    x = 1,018.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.