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Finding the Fourth Proportional to 809.96, 1,211.22 and 602.12

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Solution

The fourth proportional to 809.96, 1,211.22 and 602.12 is: 900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,211.22 = 602.12 : x
  2. Step 2: Convert to fraction form
    809.96/1,211.22 = 602.12/x
  3. Step 3: Cross multiply
    809.96x = 1,211.22 × 602.12
  4. Step 4: Simplify right side
    809.96x = 729,299.79
  5. Step 5: Solve for x
    x = 729,299.79/809.96
  6. Step 6: Final answer
    x = 900.41

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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.