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Finding the Fourth Proportional to 685.72, 1,028.67 and 274.84

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Solution

The fourth proportional to 685.72, 1,028.67 and 274.84 is: 412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.72 : 1,028.67 = 274.84 : x
  2. Step 2: Convert to fraction form
    685.72/1,028.67 = 274.84/x
  3. Step 3: Cross multiply
    685.72x = 1,028.67 × 274.84
  4. Step 4: Simplify right side
    685.72x = 282,724.17
  5. Step 5: Solve for x
    x = 282,724.17/685.72
  6. Step 6: Final answer
    x = 412.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.