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Finding the Fourth Proportional to 796.55, 1,195.34 and 363.71

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Solution

The fourth proportional to 796.55, 1,195.34 and 363.71 is: 545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.55 : 1,195.34 = 363.71 : x
  2. Step 2: Convert to fraction form
    796.55/1,195.34 = 363.71/x
  3. Step 3: Cross multiply
    796.55x = 1,195.34 × 363.71
  4. Step 4: Simplify right side
    796.55x = 434,749.32
  5. Step 5: Solve for x
    x = 434,749.32/796.55
  6. Step 6: Final answer
    x = 545.79

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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.