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Finding the Fourth Proportional to 796.37, 1,194.02 and 308.85

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Solution

The fourth proportional to 796.37, 1,194.02 and 308.85 is: 463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.37 : 1,194.02 = 308.85 : x
  2. Step 2: Convert to fraction form
    796.37/1,194.02 = 308.85/x
  3. Step 3: Cross multiply
    796.37x = 1,194.02 × 308.85
  4. Step 4: Simplify right side
    796.37x = 368,773.08
  5. Step 5: Solve for x
    x = 368,773.08/796.37
  6. Step 6: Final answer
    x = 463.07

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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.