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Finding the Fourth Proportional to 685.67, 1,028.51 and 274.70

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Solution

The fourth proportional to 685.67, 1,028.51 and 274.70 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.67 : 1,028.51 = 274.70 : x
  2. Step 2: Convert to fraction form
    685.67/1,028.51 = 274.70/x
  3. Step 3: Cross multiply
    685.67x = 1,028.51 × 274.70
  4. Step 4: Simplify right side
    685.67x = 282,527.24
  5. Step 5: Solve for x
    x = 282,527.24/685.67
  6. Step 6: Final answer
    x = 412.04

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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.