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Finding the Fourth Proportional to 685.74, 1,028.19 and 274.80

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Solution

The fourth proportional to 685.74, 1,028.19 and 274.80 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.74 : 1,028.19 = 274.80 : x
  2. Step 2: Convert to fraction form
    685.74/1,028.19 = 274.80/x
  3. Step 3: Cross multiply
    685.74x = 1,028.19 × 274.80
  4. Step 4: Simplify right side
    685.74x = 282,546.61
  5. Step 5: Solve for x
    x = 282,546.61/685.74
  6. Step 6: Final answer
    x = 412.03

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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.