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Finding the Fourth Proportional to 792.35, 1,099.41 and 769.67

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Solution

The fourth proportional to 792.35, 1,099.41 and 769.67 is: 1,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.35 : 1,099.41 = 769.67 : x
  2. Step 2: Convert to fraction form
    792.35/1,099.41 = 769.67/x
  3. Step 3: Cross multiply
    792.35x = 1,099.41 × 769.67
  4. Step 4: Simplify right side
    792.35x = 846,182.89
  5. Step 5: Solve for x
    x = 846,182.89/792.35
  6. Step 6: Final answer
    x = 1,067.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.