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Finding the Fourth Proportional to 685.50, 1,027.89 and 338.82

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Solution

The fourth proportional to 685.50, 1,027.89 and 338.82 is: 508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.50 : 1,027.89 = 338.82 : x
  2. Step 2: Convert to fraction form
    685.50/1,027.89 = 338.82/x
  3. Step 3: Cross multiply
    685.50x = 1,027.89 × 338.82
  4. Step 4: Simplify right side
    685.50x = 348,269.69
  5. Step 5: Solve for x
    x = 348,269.69/685.50
  6. Step 6: Final answer
    x = 508.05

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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.