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Finding the Fourth Proportional to 796.72, 1,099.41 and 442.65

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Solution

The fourth proportional to 796.72, 1,099.41 and 442.65 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.72 : 1,099.41 = 442.65 : x
  2. Step 2: Convert to fraction form
    796.72/1,099.41 = 442.65/x
  3. Step 3: Cross multiply
    796.72x = 1,099.41 × 442.65
  4. Step 4: Simplify right side
    796.72x = 486,651.62
  5. Step 5: Solve for x
    x = 486,651.62/796.72
  6. Step 6: Final answer
    x = 610.82

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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.