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Finding the Fourth Proportional to 796.81, 1,195.20 and 385.98

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Solution

The fourth proportional to 796.81, 1,195.20 and 385.98 is: 578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.81 : 1,195.20 = 385.98 : x
  2. Step 2: Convert to fraction form
    796.81/1,195.20 = 385.98/x
  3. Step 3: Cross multiply
    796.81x = 1,195.20 × 385.98
  4. Step 4: Simplify right side
    796.81x = 461,327.25
  5. Step 5: Solve for x
    x = 461,327.25/796.81
  6. Step 6: Final answer
    x = 578.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.