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Finding the Fourth Proportional to 723.24, 998.54 and 524.73

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Solution

The fourth proportional to 723.24, 998.54 and 524.73 is: 724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 998.54 = 524.73 : x
  2. Step 2: Convert to fraction form
    723.24/998.54 = 524.73/x
  3. Step 3: Cross multiply
    723.24x = 998.54 × 524.73
  4. Step 4: Simplify right side
    723.24x = 523,961.27
  5. Step 5: Solve for x
    x = 523,961.27/723.24
  6. Step 6: Final answer
    x = 724.46

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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.