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Finding the Fourth Proportional to 796.68, 1,099.47 and 442.63

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Solution

The fourth proportional to 796.68, 1,099.47 and 442.63 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.68 : 1,099.47 = 442.63 : x
  2. Step 2: Convert to fraction form
    796.68/1,099.47 = 442.63/x
  3. Step 3: Cross multiply
    796.68x = 1,099.47 × 442.63
  4. Step 4: Simplify right side
    796.68x = 486,650.70
  5. Step 5: Solve for x
    x = 486,650.70/796.68
  6. Step 6: Final answer
    x = 610.85

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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.