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Finding the Fourth Proportional to 640.82, 878.90 and 614.36

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Solution

The fourth proportional to 640.82, 878.90 and 614.36 is: 842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.82 : 878.90 = 614.36 : x
  2. Step 2: Convert to fraction form
    640.82/878.90 = 614.36/x
  3. Step 3: Cross multiply
    640.82x = 878.90 × 614.36
  4. Step 4: Simplify right side
    640.82x = 539,961.00
  5. Step 5: Solve for x
    x = 539,961.00/640.82
  6. Step 6: Final answer
    x = 842.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.