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Finding the Fourth Proportional to 1,167.16, 1,608.82 and 1,144.12

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Solution

The fourth proportional to 1,167.16, 1,608.82 and 1,144.12 is: 1,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.16 : 1,608.82 = 1,144.12 : x
  2. Step 2: Convert to fraction form
    1,167.16/1,608.82 = 1,144.12/x
  3. Step 3: Cross multiply
    1,167.16x = 1,608.82 × 1,144.12
  4. Step 4: Simplify right side
    1,167.16x = 1,840,683.14
  5. Step 5: Solve for x
    x = 1,840,683.14/1,167.16
  6. Step 6: Final answer
    x = 1,577.06

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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.