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Finding the Fourth Proportional to 728.11, 1,091.76 and 403.71

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Solution

The fourth proportional to 728.11, 1,091.76 and 403.71 is: 605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.11 : 1,091.76 = 403.71 : x
  2. Step 2: Convert to fraction form
    728.11/1,091.76 = 403.71/x
  3. Step 3: Cross multiply
    728.11x = 1,091.76 × 403.71
  4. Step 4: Simplify right side
    728.11x = 440,754.43
  5. Step 5: Solve for x
    x = 440,754.43/728.11
  6. Step 6: Final answer
    x = 605.34

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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.