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Finding the Fourth Proportional to 721.54, 1,081.96 and 259.25

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Solution

The fourth proportional to 721.54, 1,081.96 and 259.25 is: 388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.54 : 1,081.96 = 259.25 : x
  2. Step 2: Convert to fraction form
    721.54/1,081.96 = 259.25/x
  3. Step 3: Cross multiply
    721.54x = 1,081.96 × 259.25
  4. Step 4: Simplify right side
    721.54x = 280,498.16
  5. Step 5: Solve for x
    x = 280,498.16/721.54
  6. Step 6: Final answer
    x = 388.75

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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.