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Finding the Fourth Proportional to 723.89, 1,086.09 and 377.21

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Solution

The fourth proportional to 723.89, 1,086.09 and 377.21 is: 565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.89 : 1,086.09 = 377.21 : x
  2. Step 2: Convert to fraction form
    723.89/1,086.09 = 377.21/x
  3. Step 3: Cross multiply
    723.89x = 1,086.09 × 377.21
  4. Step 4: Simplify right side
    723.89x = 409,684.01
  5. Step 5: Solve for x
    x = 409,684.01/723.89
  6. Step 6: Final answer
    x = 565.95

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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.