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Finding the Fourth Proportional to 998.73, 1,378.11 and 605.68

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Solution

The fourth proportional to 998.73, 1,378.11 and 605.68 is: 835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.73 : 1,378.11 = 605.68 : x
  2. Step 2: Convert to fraction form
    998.73/1,378.11 = 605.68/x
  3. Step 3: Cross multiply
    998.73x = 1,378.11 × 605.68
  4. Step 4: Simplify right side
    998.73x = 834,692.49
  5. Step 5: Solve for x
    x = 834,692.49/998.73
  6. Step 6: Final answer
    x = 835.75

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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.