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Finding the Fourth Proportional to 727.43, 1,003.84 and 404.03

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Solution

The fourth proportional to 727.43, 1,003.84 and 404.03 is: 557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.43 : 1,003.84 = 404.03 : x
  2. Step 2: Convert to fraction form
    727.43/1,003.84 = 404.03/x
  3. Step 3: Cross multiply
    727.43x = 1,003.84 × 404.03
  4. Step 4: Simplify right side
    727.43x = 405,584.10
  5. Step 5: Solve for x
    x = 405,584.10/727.43
  6. Step 6: Final answer
    x = 557.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.