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Finding the Fourth Proportional to 809.79, 1,211.33 and 613.31

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Solution

The fourth proportional to 809.79, 1,211.33 and 613.31 is: 917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.79 : 1,211.33 = 613.31 : x
  2. Step 2: Convert to fraction form
    809.79/1,211.33 = 613.31/x
  3. Step 3: Cross multiply
    809.79x = 1,211.33 × 613.31
  4. Step 4: Simplify right side
    809.79x = 742,920.80
  5. Step 5: Solve for x
    x = 742,920.80/809.79
  6. Step 6: Final answer
    x = 917.43

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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.