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Finding the Fourth Proportional to 891.41, 1,229.99 and 596.75

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Solution

The fourth proportional to 891.41, 1,229.99 and 596.75 is: 823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.41 : 1,229.99 = 596.75 : x
  2. Step 2: Convert to fraction form
    891.41/1,229.99 = 596.75/x
  3. Step 3: Cross multiply
    891.41x = 1,229.99 × 596.75
  4. Step 4: Simplify right side
    891.41x = 733,987.40
  5. Step 5: Solve for x
    x = 733,987.40/891.41
  6. Step 6: Final answer
    x = 823.41

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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.