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Finding the Fourth Proportional to 796.83, 1,195.44 and 309.81

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Solution

The fourth proportional to 796.83, 1,195.44 and 309.81 is: 464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.83 : 1,195.44 = 309.81 : x
  2. Step 2: Convert to fraction form
    796.83/1,195.44 = 309.81/x
  3. Step 3: Cross multiply
    796.83x = 1,195.44 × 309.81
  4. Step 4: Simplify right side
    796.83x = 370,359.27
  5. Step 5: Solve for x
    x = 370,359.27/796.83
  6. Step 6: Final answer
    x = 464.79

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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.