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Finding the Fourth Proportional to 685.25, 1,028.21 and 274.50

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Solution

The fourth proportional to 685.25, 1,028.21 and 274.50 is: 411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.25 : 1,028.21 = 274.50 : x
  2. Step 2: Convert to fraction form
    685.25/1,028.21 = 274.50/x
  3. Step 3: Cross multiply
    685.25x = 1,028.21 × 274.50
  4. Step 4: Simplify right side
    685.25x = 282,244.33
  5. Step 5: Solve for x
    x = 282,244.33/685.25
  6. Step 6: Final answer
    x = 411.89

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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.