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Finding the Fourth Proportional to 723.89, 998.84 and 461.79

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Solution

The fourth proportional to 723.89, 998.84 and 461.79 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.89 : 998.84 = 461.79 : x
  2. Step 2: Convert to fraction form
    723.89/998.84 = 461.79/x
  3. Step 3: Cross multiply
    723.89x = 998.84 × 461.79
  4. Step 4: Simplify right side
    723.89x = 461,252.01
  5. Step 5: Solve for x
    x = 461,252.01/723.89
  6. Step 6: Final answer
    x = 637.19

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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.