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Finding the Fourth Proportional to 809.48, 1,212.87 and 779.11

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Solution

The fourth proportional to 809.48, 1,212.87 and 779.11 is: 1,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.48 : 1,212.87 = 779.11 : x
  2. Step 2: Convert to fraction form
    809.48/1,212.87 = 779.11/x
  3. Step 3: Cross multiply
    809.48x = 1,212.87 × 779.11
  4. Step 4: Simplify right side
    809.48x = 944,959.15
  5. Step 5: Solve for x
    x = 944,959.15/809.48
  6. Step 6: Final answer
    x = 1,167.37

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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.