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Finding the Fourth Proportional to 796.89, 1,099.72 and 442.82

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Solution

The fourth proportional to 796.89, 1,099.72 and 442.82 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.89 : 1,099.72 = 442.82 : x
  2. Step 2: Convert to fraction form
    796.89/1,099.72 = 442.82/x
  3. Step 3: Cross multiply
    796.89x = 1,099.72 × 442.82
  4. Step 4: Simplify right side
    796.89x = 486,978.01
  5. Step 5: Solve for x
    x = 486,978.01/796.89
  6. Step 6: Final answer
    x = 611.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.