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Finding the Fourth Proportional to 796.30, 1,195.80 and 523.60

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Solution

The fourth proportional to 796.30, 1,195.80 and 523.60 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.30 : 1,195.80 = 523.60 : x
  2. Step 2: Convert to fraction form
    796.30/1,195.80 = 523.60/x
  3. Step 3: Cross multiply
    796.30x = 1,195.80 × 523.60
  4. Step 4: Simplify right side
    796.30x = 626,120.88
  5. Step 5: Solve for x
    x = 626,120.88/796.30
  6. Step 6: Final answer
    x = 786.29

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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.