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Finding the Fourth Proportional to 730.25, 1,092.75 and 681.37

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Solution

The fourth proportional to 730.25, 1,092.75 and 681.37 is: 1,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.25 : 1,092.75 = 681.37 : x
  2. Step 2: Convert to fraction form
    730.25/1,092.75 = 681.37/x
  3. Step 3: Cross multiply
    730.25x = 1,092.75 × 681.37
  4. Step 4: Simplify right side
    730.25x = 744,565.70
  5. Step 5: Solve for x
    x = 744,565.70/730.25
  6. Step 6: Final answer
    x = 1,019.61

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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.