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Finding the Fourth Proportional to 976.53, 1,464.78 and 489.57

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Solution

The fourth proportional to 976.53, 1,464.78 and 489.57 is: 734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.53 : 1,464.78 = 489.57 : x
  2. Step 2: Convert to fraction form
    976.53/1,464.78 = 489.57/x
  3. Step 3: Cross multiply
    976.53x = 1,464.78 × 489.57
  4. Step 4: Simplify right side
    976.53x = 717,112.34
  5. Step 5: Solve for x
    x = 717,112.34/976.53
  6. Step 6: Final answer
    x = 734.35

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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.