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Finding the Fourth Proportional to 976.56, 1,463.76 and 489.48

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Solution

The fourth proportional to 976.56, 1,463.76 and 489.48 is: 733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.56 : 1,463.76 = 489.48 : x
  2. Step 2: Convert to fraction form
    976.56/1,463.76 = 489.48/x
  3. Step 3: Cross multiply
    976.56x = 1,463.76 × 489.48
  4. Step 4: Simplify right side
    976.56x = 716,481.24
  5. Step 5: Solve for x
    x = 716,481.24/976.56
  6. Step 6: Final answer
    x = 733.68

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Why These Related Problems?

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