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Finding the Fourth Proportional to 799.22, 1,190.63 and 769.84

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Solution

The fourth proportional to 799.22, 1,190.63 and 769.84 is: 1,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.22 : 1,190.63 = 769.84 : x
  2. Step 2: Convert to fraction form
    799.22/1,190.63 = 769.84/x
  3. Step 3: Cross multiply
    799.22x = 1,190.63 × 769.84
  4. Step 4: Simplify right side
    799.22x = 916,593.55
  5. Step 5: Solve for x
    x = 916,593.55/799.22
  6. Step 6: Final answer
    x = 1,146.86

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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.