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Finding the Fourth Proportional to 793.02, 1,189.17 and 381.39

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Solution

The fourth proportional to 793.02, 1,189.17 and 381.39 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,189.17 = 381.39 : x
  2. Step 2: Convert to fraction form
    793.02/1,189.17 = 381.39/x
  3. Step 3: Cross multiply
    793.02x = 1,189.17 × 381.39
  4. Step 4: Simplify right side
    793.02x = 453,537.55
  5. Step 5: Solve for x
    x = 453,537.55/793.02
  6. Step 6: Final answer
    x = 571.91

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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.