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Finding the Fourth Proportional to 809.98, 1,213.61 and 779.60

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Solution

The fourth proportional to 809.98, 1,213.61 and 779.60 is: 1,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.98 : 1,213.61 = 779.60 : x
  2. Step 2: Convert to fraction form
    809.98/1,213.61 = 779.60/x
  3. Step 3: Cross multiply
    809.98x = 1,213.61 × 779.60
  4. Step 4: Simplify right side
    809.98x = 946,129.49
  5. Step 5: Solve for x
    x = 946,129.49/809.98
  6. Step 6: Final answer
    x = 1,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.