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Finding the Fourth Proportional to 796.74, 1,099.50 and 442.66

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Solution

The fourth proportional to 796.74, 1,099.50 and 442.66 is: 610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.74 : 1,099.50 = 442.66 : x
  2. Step 2: Convert to fraction form
    796.74/1,099.50 = 442.66/x
  3. Step 3: Cross multiply
    796.74x = 1,099.50 × 442.66
  4. Step 4: Simplify right side
    796.74x = 486,704.67
  5. Step 5: Solve for x
    x = 486,704.67/796.74
  6. Step 6: Final answer
    x = 610.87

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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.