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Finding the Fourth Proportional to 680.40, 939.48 and 522.78

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Solution

The fourth proportional to 680.40, 939.48 and 522.78 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 939.48 = 522.78 : x
  2. Step 2: Convert to fraction form
    680.40/939.48 = 522.78/x
  3. Step 3: Cross multiply
    680.40x = 939.48 × 522.78
  4. Step 4: Simplify right side
    680.40x = 491,143.70
  5. Step 5: Solve for x
    x = 491,143.70/680.40
  6. Step 6: Final answer
    x = 721.85

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