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Finding the Fourth Proportional to 806.63, 1,115.19 and 772.20

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Solution

The fourth proportional to 806.63, 1,115.19 and 772.20 is: 1,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.63 : 1,115.19 = 772.20 : x
  2. Step 2: Convert to fraction form
    806.63/1,115.19 = 772.20/x
  3. Step 3: Cross multiply
    806.63x = 1,115.19 × 772.20
  4. Step 4: Simplify right side
    806.63x = 861,149.72
  5. Step 5: Solve for x
    x = 861,149.72/806.63
  6. Step 6: Final answer
    x = 1,067.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.