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Finding the Fourth Proportional to 976.34, 1,464.97 and 489.73

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Solution

The fourth proportional to 976.34, 1,464.97 and 489.73 is: 734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.34 : 1,464.97 = 489.73 : x
  2. Step 2: Convert to fraction form
    976.34/1,464.97 = 489.73/x
  3. Step 3: Cross multiply
    976.34x = 1,464.97 × 489.73
  4. Step 4: Simplify right side
    976.34x = 717,439.76
  5. Step 5: Solve for x
    x = 717,439.76/976.34
  6. Step 6: Final answer
    x = 734.83

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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.