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Finding the Fourth Proportional to 747.09, 1,119.42 and 381.38

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Solution

The fourth proportional to 747.09, 1,119.42 and 381.38 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.09 : 1,119.42 = 381.38 : x
  2. Step 2: Convert to fraction form
    747.09/1,119.42 = 381.38/x
  3. Step 3: Cross multiply
    747.09x = 1,119.42 × 381.38
  4. Step 4: Simplify right side
    747.09x = 426,918.80
  5. Step 5: Solve for x
    x = 426,918.80/747.09
  6. Step 6: Final answer
    x = 571.44

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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.