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Finding the Fourth Proportional to 685.50, 1,027.86 and 411.76

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Solution

The fourth proportional to 685.50, 1,027.86 and 411.76 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.50 : 1,027.86 = 411.76 : x
  2. Step 2: Convert to fraction form
    685.50/1,027.86 = 411.76/x
  3. Step 3: Cross multiply
    685.50x = 1,027.86 × 411.76
  4. Step 4: Simplify right side
    685.50x = 423,231.63
  5. Step 5: Solve for x
    x = 423,231.63/685.50
  6. Step 6: Final answer
    x = 617.41

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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.