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Finding the Fourth Proportional to 796.83, 1,195.23 and 310.22

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Solution

The fourth proportional to 796.83, 1,195.23 and 310.22 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.83 : 1,195.23 = 310.22 : x
  2. Step 2: Convert to fraction form
    796.83/1,195.23 = 310.22/x
  3. Step 3: Cross multiply
    796.83x = 1,195.23 × 310.22
  4. Step 4: Simplify right side
    796.83x = 370,787.24
  5. Step 5: Solve for x
    x = 370,787.24/796.83
  6. Step 6: Final answer
    x = 465.33

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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.