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Finding the Fourth Proportional to 723.85, 998.67 and 443.94

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Solution

The fourth proportional to 723.85, 998.67 and 443.94 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.85 : 998.67 = 443.94 : x
  2. Step 2: Convert to fraction form
    723.85/998.67 = 443.94/x
  3. Step 3: Cross multiply
    723.85x = 998.67 × 443.94
  4. Step 4: Simplify right side
    723.85x = 443,349.56
  5. Step 5: Solve for x
    x = 443,349.56/723.85
  6. Step 6: Final answer
    x = 612.49

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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.