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Finding the Fourth Proportional to 796.86, 1,099.64 and 442.76

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Solution

The fourth proportional to 796.86, 1,099.64 and 442.76 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,099.64 = 442.76 : x
  2. Step 2: Convert to fraction form
    796.86/1,099.64 = 442.76/x
  3. Step 3: Cross multiply
    796.86x = 1,099.64 × 442.76
  4. Step 4: Simplify right side
    796.86x = 486,876.61
  5. Step 5: Solve for x
    x = 486,876.61/796.86
  6. Step 6: Final answer
    x = 610.99

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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.