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Finding the Fourth Proportional to 1,066.57, 1,601.36 and 605.25

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Solution

The fourth proportional to 1,066.57, 1,601.36 and 605.25 is: 908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.57 : 1,601.36 = 605.25 : x
  2. Step 2: Convert to fraction form
    1,066.57/1,601.36 = 605.25/x
  3. Step 3: Cross multiply
    1,066.57x = 1,601.36 × 605.25
  4. Step 4: Simplify right side
    1,066.57x = 969,223.14
  5. Step 5: Solve for x
    x = 969,223.14/1,066.57
  6. Step 6: Final answer
    x = 908.73

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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.