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Finding the Fourth Proportional to 727.05, 1,003.78 and 540.33

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Solution

The fourth proportional to 727.05, 1,003.78 and 540.33 is: 745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.05 : 1,003.78 = 540.33 : x
  2. Step 2: Convert to fraction form
    727.05/1,003.78 = 540.33/x
  3. Step 3: Cross multiply
    727.05x = 1,003.78 × 540.33
  4. Step 4: Simplify right side
    727.05x = 542,372.45
  5. Step 5: Solve for x
    x = 542,372.45/727.05
  6. Step 6: Final answer
    x = 745.99

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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.