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Finding the Fourth Proportional to 796.57, 1,195.16 and 309.96

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Solution

The fourth proportional to 796.57, 1,195.16 and 309.96 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.57 : 1,195.16 = 309.96 : x
  2. Step 2: Convert to fraction form
    796.57/1,195.16 = 309.96/x
  3. Step 3: Cross multiply
    796.57x = 1,195.16 × 309.96
  4. Step 4: Simplify right side
    796.57x = 370,450.24
  5. Step 5: Solve for x
    x = 370,450.24/796.57
  6. Step 6: Final answer
    x = 465.06

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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.