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Finding the Fourth Proportional to 723.82, 1,086.21 and 399.43

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Solution

The fourth proportional to 723.82, 1,086.21 and 399.43 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.82 : 1,086.21 = 399.43 : x
  2. Step 2: Convert to fraction form
    723.82/1,086.21 = 399.43/x
  3. Step 3: Cross multiply
    723.82x = 1,086.21 × 399.43
  4. Step 4: Simplify right side
    723.82x = 433,864.86
  5. Step 5: Solve for x
    x = 433,864.86/723.82
  6. Step 6: Final answer
    x = 599.41

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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.