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Finding the Fourth Proportional to 796.68, 1,189.26 and 673.80

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Solution

The fourth proportional to 796.68, 1,189.26 and 673.80 is: 1,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.68 : 1,189.26 = 673.80 : x
  2. Step 2: Convert to fraction form
    796.68/1,189.26 = 673.80/x
  3. Step 3: Cross multiply
    796.68x = 1,189.26 × 673.80
  4. Step 4: Simplify right side
    796.68x = 801,323.39
  5. Step 5: Solve for x
    x = 801,323.39/796.68
  6. Step 6: Final answer
    x = 1,005.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.