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Finding the Fourth Proportional to 721.91, 1,083.75 and 685.59

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Solution

The fourth proportional to 721.91, 1,083.75 and 685.59 is: 1,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.91 : 1,083.75 = 685.59 : x
  2. Step 2: Convert to fraction form
    721.91/1,083.75 = 685.59/x
  3. Step 3: Cross multiply
    721.91x = 1,083.75 × 685.59
  4. Step 4: Simplify right side
    721.91x = 743,008.16
  5. Step 5: Solve for x
    x = 743,008.16/721.91
  6. Step 6: Final answer
    x = 1,029.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.