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Finding the Fourth Proportional to 976.23, 1,464.91 and 489.29

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Solution

The fourth proportional to 976.23, 1,464.91 and 489.29 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.23 : 1,464.91 = 489.29 : x
  2. Step 2: Convert to fraction form
    976.23/1,464.91 = 489.29/x
  3. Step 3: Cross multiply
    976.23x = 1,464.91 × 489.29
  4. Step 4: Simplify right side
    976.23x = 716,757.27
  5. Step 5: Solve for x
    x = 716,757.27/976.23
  6. Step 6: Final answer
    x = 734.21

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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.