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Finding the Fourth Proportional to 796.74, 1,195.29 and 309.93

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Solution

The fourth proportional to 796.74, 1,195.29 and 309.93 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.74 : 1,195.29 = 309.93 : x
  2. Step 2: Convert to fraction form
    796.74/1,195.29 = 309.93/x
  3. Step 3: Cross multiply
    796.74x = 1,195.29 × 309.93
  4. Step 4: Simplify right side
    796.74x = 370,456.23
  5. Step 5: Solve for x
    x = 370,456.23/796.74
  6. Step 6: Final answer
    x = 464.97

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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.