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Finding the Fourth Proportional to 806.43, 1,203.09 and 796.07

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Solution

The fourth proportional to 806.43, 1,203.09 and 796.07 is: 1,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.43 : 1,203.09 = 796.07 : x
  2. Step 2: Convert to fraction form
    806.43/1,203.09 = 796.07/x
  3. Step 3: Cross multiply
    806.43x = 1,203.09 × 796.07
  4. Step 4: Simplify right side
    806.43x = 957,743.86
  5. Step 5: Solve for x
    x = 957,743.86/806.43
  6. Step 6: Final answer
    x = 1,187.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.