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Finding the Fourth Proportional to 685.02, 1,027.62 and 274.15

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Solution

The fourth proportional to 685.02, 1,027.62 and 274.15 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 1,027.62 = 274.15 : x
  2. Step 2: Convert to fraction form
    685.02/1,027.62 = 274.15/x
  3. Step 3: Cross multiply
    685.02x = 1,027.62 × 274.15
  4. Step 4: Simplify right side
    685.02x = 281,722.02
  5. Step 5: Solve for x
    x = 281,722.02/685.02
  6. Step 6: Final answer
    x = 411.26

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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.