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Finding the Fourth Proportional to 793.49, 1,189.80 and 574.43

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Solution

The fourth proportional to 793.49, 1,189.80 and 574.43 is: 861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.49 : 1,189.80 = 574.43 : x
  2. Step 2: Convert to fraction form
    793.49/1,189.80 = 574.43/x
  3. Step 3: Cross multiply
    793.49x = 1,189.80 × 574.43
  4. Step 4: Simplify right side
    793.49x = 683,450.87
  5. Step 5: Solve for x
    x = 683,450.87/793.49
  6. Step 6: Final answer
    x = 861.33

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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.