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Finding the Fourth Proportional to 663.45, 992.82 and 489.72

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Solution

The fourth proportional to 663.45, 992.82 and 489.72 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.45 : 992.82 = 489.72 : x
  2. Step 2: Convert to fraction form
    663.45/992.82 = 489.72/x
  3. Step 3: Cross multiply
    663.45x = 992.82 × 489.72
  4. Step 4: Simplify right side
    663.45x = 486,203.81
  5. Step 5: Solve for x
    x = 486,203.81/663.45
  6. Step 6: Final answer
    x = 732.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.