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Finding the Fourth Proportional to 685.09, 1,028.05 and 274.17

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Solution

The fourth proportional to 685.09, 1,028.05 and 274.17 is: 411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.09 : 1,028.05 = 274.17 : x
  2. Step 2: Convert to fraction form
    685.09/1,028.05 = 274.17/x
  3. Step 3: Cross multiply
    685.09x = 1,028.05 × 274.17
  4. Step 4: Simplify right side
    685.09x = 281,859.78
  5. Step 5: Solve for x
    x = 281,859.78/685.09
  6. Step 6: Final answer
    x = 411.42

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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.