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Finding the Fourth Proportional to 685.00, 1,027.84 and 274.43

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Solution

The fourth proportional to 685.00, 1,027.84 and 274.43 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.00 : 1,027.84 = 274.43 : x
  2. Step 2: Convert to fraction form
    685.00/1,027.84 = 274.43/x
  3. Step 3: Cross multiply
    685.00x = 1,027.84 × 274.43
  4. Step 4: Simplify right side
    685.00x = 282,072.01
  5. Step 5: Solve for x
    x = 282,072.01/685.00
  6. Step 6: Final answer
    x = 411.79

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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.