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Finding the Fourth Proportional to 891.68, 1,231.23 and 593.21

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Solution

The fourth proportional to 891.68, 1,231.23 and 593.21 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.68 : 1,231.23 = 593.21 : x
  2. Step 2: Convert to fraction form
    891.68/1,231.23 = 593.21/x
  3. Step 3: Cross multiply
    891.68x = 1,231.23 × 593.21
  4. Step 4: Simplify right side
    891.68x = 730,377.95
  5. Step 5: Solve for x
    x = 730,377.95/891.68
  6. Step 6: Final answer
    x = 819.10

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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.