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Finding the Fourth Proportional to 680.60, 938.89 and 493.80

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Solution

The fourth proportional to 680.60, 938.89 and 493.80 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.60 : 938.89 = 493.80 : x
  2. Step 2: Convert to fraction form
    680.60/938.89 = 493.80/x
  3. Step 3: Cross multiply
    680.60x = 938.89 × 493.80
  4. Step 4: Simplify right side
    680.60x = 463,620.98
  5. Step 5: Solve for x
    x = 463,620.98/680.60
  6. Step 6: Final answer
    x = 681.19

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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.