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Finding the Fourth Proportional to 680.85, 939.78 and 401.06

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Solution

The fourth proportional to 680.85, 939.78 and 401.06 is: 553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.85 : 939.78 = 401.06 : x
  2. Step 2: Convert to fraction form
    680.85/939.78 = 401.06/x
  3. Step 3: Cross multiply
    680.85x = 939.78 × 401.06
  4. Step 4: Simplify right side
    680.85x = 376,910.52
  5. Step 5: Solve for x
    x = 376,910.52/680.85
  6. Step 6: Final answer
    x = 553.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.