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Finding the Fourth Proportional to 796.91, 1,099.71 and 442.83

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Solution

The fourth proportional to 796.91, 1,099.71 and 442.83 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.91 : 1,099.71 = 442.83 : x
  2. Step 2: Convert to fraction form
    796.91/1,099.71 = 442.83/x
  3. Step 3: Cross multiply
    796.91x = 1,099.71 × 442.83
  4. Step 4: Simplify right side
    796.91x = 486,978.79
  5. Step 5: Solve for x
    x = 486,978.79/796.91
  6. Step 6: Final answer
    x = 611.09

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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.