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Finding the Fourth Proportional to 859.52, 1,286.30 and 675.38

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Solution

The fourth proportional to 859.52, 1,286.30 and 675.38 is: 1,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.52 : 1,286.30 = 675.38 : x
  2. Step 2: Convert to fraction form
    859.52/1,286.30 = 675.38/x
  3. Step 3: Cross multiply
    859.52x = 1,286.30 × 675.38
  4. Step 4: Simplify right side
    859.52x = 868,741.29
  5. Step 5: Solve for x
    x = 868,741.29/859.52
  6. Step 6: Final answer
    x = 1,010.73

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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.