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Finding the Fourth Proportional to 685, 1,027.50 and 274.32

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Solution

The fourth proportional to 685, 1,027.50 and 274.32 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 1,027.50 = 274.32 : x
  2. Step 2: Convert to fraction form
    685/1,027.50 = 274.32/x
  3. Step 3: Cross multiply
    685x = 1,027.50 × 274.32
  4. Step 4: Simplify right side
    685x = 281,863.80
  5. Step 5: Solve for x
    x = 281,863.80/685
  6. Step 6: Final answer
    x = 411.48

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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.