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Finding the Fourth Proportional to 976.34, 1,463.72 and 489.72

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Solution

The fourth proportional to 976.34, 1,463.72 and 489.72 is: 734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.34 : 1,463.72 = 489.72 : x
  2. Step 2: Convert to fraction form
    976.34/1,463.72 = 489.72/x
  3. Step 3: Cross multiply
    976.34x = 1,463.72 × 489.72
  4. Step 4: Simplify right side
    976.34x = 716,812.96
  5. Step 5: Solve for x
    x = 716,812.96/976.34
  6. Step 6: Final answer
    x = 734.18

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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.