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Finding the Fourth Proportional to 725.09, 1,087.65 and 238.10

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Solution

The fourth proportional to 725.09, 1,087.65 and 238.10 is: 357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.09 : 1,087.65 = 238.10 : x
  2. Step 2: Convert to fraction form
    725.09/1,087.65 = 238.10/x
  3. Step 3: Cross multiply
    725.09x = 1,087.65 × 238.10
  4. Step 4: Simplify right side
    725.09x = 258,964.03
  5. Step 5: Solve for x
    x = 258,964.03/725.09
  6. Step 6: Final answer
    x = 357.15

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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.