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Finding the Fourth Proportional to 806.93, 1,203.84 and 796.56

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Solution

The fourth proportional to 806.93, 1,203.84 and 796.56 is: 1,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.93 : 1,203.84 = 796.56 : x
  2. Step 2: Convert to fraction form
    806.93/1,203.84 = 796.56/x
  3. Step 3: Cross multiply
    806.93x = 1,203.84 × 796.56
  4. Step 4: Simplify right side
    806.93x = 958,930.79
  5. Step 5: Solve for x
    x = 958,930.79/806.93
  6. Step 6: Final answer
    x = 1,188.38

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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.