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Finding the Fourth Proportional to 892.60, 1,338.66 and 605.80

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Solution

The fourth proportional to 892.60, 1,338.66 and 605.80 is: 908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.60 : 1,338.66 = 605.80 : x
  2. Step 2: Convert to fraction form
    892.60/1,338.66 = 605.80/x
  3. Step 3: Cross multiply
    892.60x = 1,338.66 × 605.80
  4. Step 4: Simplify right side
    892.60x = 810,960.23
  5. Step 5: Solve for x
    x = 810,960.23/892.60
  6. Step 6: Final answer
    x = 908.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.