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Finding the Fourth Proportional to 685.68, 1,028.87 and 274.94

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Solution

The fourth proportional to 685.68, 1,028.87 and 274.94 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 1,028.87 = 274.94 : x
  2. Step 2: Convert to fraction form
    685.68/1,028.87 = 274.94/x
  3. Step 3: Cross multiply
    685.68x = 1,028.87 × 274.94
  4. Step 4: Simplify right side
    685.68x = 282,874.95
  5. Step 5: Solve for x
    x = 282,874.95/685.68
  6. Step 6: Final answer
    x = 412.55

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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.