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Finding the Fourth Proportional to 967.12, 1,449 and 748.18

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Solution

The fourth proportional to 967.12, 1,449 and 748.18 is: 1,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,449 = 748.18 : x
  2. Step 2: Convert to fraction form
    967.12/1,449 = 748.18/x
  3. Step 3: Cross multiply
    967.12x = 1,449 × 748.18
  4. Step 4: Simplify right side
    967.12x = 1,084,112.82
  5. Step 5: Solve for x
    x = 1,084,112.82/967.12
  6. Step 6: Final answer
    x = 1,120.97

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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.