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Finding the Fourth Proportional to 796.88, 1,099.14 and 770.12

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Solution

The fourth proportional to 796.88, 1,099.14 and 770.12 is: 1,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.88 : 1,099.14 = 770.12 : x
  2. Step 2: Convert to fraction form
    796.88/1,099.14 = 770.12/x
  3. Step 3: Cross multiply
    796.88x = 1,099.14 × 770.12
  4. Step 4: Simplify right side
    796.88x = 846,469.70
  5. Step 5: Solve for x
    x = 846,469.70/796.88
  6. Step 6: Final answer
    x = 1,062.23

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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.