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Finding the Fourth Proportional to 796.56, 1,194.81 and 759.63

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Solution

The fourth proportional to 796.56, 1,194.81 and 759.63 is: 1,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,194.81 = 759.63 : x
  2. Step 2: Convert to fraction form
    796.56/1,194.81 = 759.63/x
  3. Step 3: Cross multiply
    796.56x = 1,194.81 × 759.63
  4. Step 4: Simplify right side
    796.56x = 907,613.52
  5. Step 5: Solve for x
    x = 907,613.52/796.56
  6. Step 6: Final answer
    x = 1,139.42

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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.