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Finding the Fourth Proportional to 685.40, 1,027.74 and 274.28

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Solution

The fourth proportional to 685.40, 1,027.74 and 274.28 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 1,027.74 = 274.28 : x
  2. Step 2: Convert to fraction form
    685.40/1,027.74 = 274.28/x
  3. Step 3: Cross multiply
    685.40x = 1,027.74 × 274.28
  4. Step 4: Simplify right side
    685.40x = 281,888.53
  5. Step 5: Solve for x
    x = 281,888.53/685.40
  6. Step 6: Final answer
    x = 411.28

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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.