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Finding the Fourth Proportional to 891.98, 1,229.72 and 668.23

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Solution

The fourth proportional to 891.98, 1,229.72 and 668.23 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.98 : 1,229.72 = 668.23 : x
  2. Step 2: Convert to fraction form
    891.98/1,229.72 = 668.23/x
  3. Step 3: Cross multiply
    891.98x = 1,229.72 × 668.23
  4. Step 4: Simplify right side
    891.98x = 821,736.30
  5. Step 5: Solve for x
    x = 821,736.30/891.98
  6. Step 6: Final answer
    x = 921.25

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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.