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Finding the Fourth Proportional to 980.75, 1,469.27 and 486.57

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Solution

The fourth proportional to 980.75, 1,469.27 and 486.57 is: 728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.75 : 1,469.27 = 486.57 : x
  2. Step 2: Convert to fraction form
    980.75/1,469.27 = 486.57/x
  3. Step 3: Cross multiply
    980.75x = 1,469.27 × 486.57
  4. Step 4: Simplify right side
    980.75x = 714,900.27
  5. Step 5: Solve for x
    x = 714,900.27/980.75
  6. Step 6: Final answer
    x = 728.94

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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.