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Finding the Fourth Proportional to 825.08, 1,238.21 and 667.16

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Solution

The fourth proportional to 825.08, 1,238.21 and 667.16 is: 1,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.08 : 1,238.21 = 667.16 : x
  2. Step 2: Convert to fraction form
    825.08/1,238.21 = 667.16/x
  3. Step 3: Cross multiply
    825.08x = 1,238.21 × 667.16
  4. Step 4: Simplify right side
    825.08x = 826,074.66
  5. Step 5: Solve for x
    x = 826,074.66/825.08
  6. Step 6: Final answer
    x = 1,001.21

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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.