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Finding the Fourth Proportional to 685.77, 1,028.76 and 252.89

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Solution

The fourth proportional to 685.77, 1,028.76 and 252.89 is: 379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.77 : 1,028.76 = 252.89 : x
  2. Step 2: Convert to fraction form
    685.77/1,028.76 = 252.89/x
  3. Step 3: Cross multiply
    685.77x = 1,028.76 × 252.89
  4. Step 4: Simplify right side
    685.77x = 260,163.12
  5. Step 5: Solve for x
    x = 260,163.12/685.77
  6. Step 6: Final answer
    x = 379.37

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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.