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Finding the Fourth Proportional to 1,165.37, 1,608.20 and 667.98

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Solution

The fourth proportional to 1,165.37, 1,608.20 and 667.98 is: 921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.37 : 1,608.20 = 667.98 : x
  2. Step 2: Convert to fraction form
    1,165.37/1,608.20 = 667.98/x
  3. Step 3: Cross multiply
    1,165.37x = 1,608.20 × 667.98
  4. Step 4: Simplify right side
    1,165.37x = 1,074,245.44
  5. Step 5: Solve for x
    x = 1,074,245.44/1,165.37
  6. Step 6: Final answer
    x = 921.81

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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.