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Finding the Fourth Proportional to 723.24, 997.20 and 599.04

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Solution

The fourth proportional to 723.24, 997.20 and 599.04 is: 825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 997.20 = 599.04 : x
  2. Step 2: Convert to fraction form
    723.24/997.20 = 599.04/x
  3. Step 3: Cross multiply
    723.24x = 997.20 × 599.04
  4. Step 4: Simplify right side
    723.24x = 597,362.69
  5. Step 5: Solve for x
    x = 597,362.69/723.24
  6. Step 6: Final answer
    x = 825.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.