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Finding the Fourth Proportional to 1,786.25, 2,679.48 and 487.69

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Solution

The fourth proportional to 1,786.25, 2,679.48 and 487.69 is: 731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.25 : 2,679.48 = 487.69 : x
  2. Step 2: Convert to fraction form
    1,786.25/2,679.48 = 487.69/x
  3. Step 3: Cross multiply
    1,786.25x = 2,679.48 × 487.69
  4. Step 4: Simplify right side
    1,786.25x = 1,306,748.90
  5. Step 5: Solve for x
    x = 1,306,748.90/1,786.25
  6. Step 6: Final answer
    x = 731.56

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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.