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Finding the Fourth Proportional to 724.03, 998.40 and 490.75

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Solution

The fourth proportional to 724.03, 998.40 and 490.75 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.03 : 998.40 = 490.75 : x
  2. Step 2: Convert to fraction form
    724.03/998.40 = 490.75/x
  3. Step 3: Cross multiply
    724.03x = 998.40 × 490.75
  4. Step 4: Simplify right side
    724.03x = 489,964.80
  5. Step 5: Solve for x
    x = 489,964.80/724.03
  6. Step 6: Final answer
    x = 676.72

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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.