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Finding the Fourth Proportional to 796.03, 1,193.66 and 327.42

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Solution

The fourth proportional to 796.03, 1,193.66 and 327.42 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.03 : 1,193.66 = 327.42 : x
  2. Step 2: Convert to fraction form
    796.03/1,193.66 = 327.42/x
  3. Step 3: Cross multiply
    796.03x = 1,193.66 × 327.42
  4. Step 4: Simplify right side
    796.03x = 390,826.52
  5. Step 5: Solve for x
    x = 390,826.52/796.03
  6. Step 6: Final answer
    x = 490.97

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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.