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Finding the Fourth Proportional to 980.07, 1,469.78 and 321.76

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Solution

The fourth proportional to 980.07, 1,469.78 and 321.76 is: 482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.07 : 1,469.78 = 321.76 : x
  2. Step 2: Convert to fraction form
    980.07/1,469.78 = 321.76/x
  3. Step 3: Cross multiply
    980.07x = 1,469.78 × 321.76
  4. Step 4: Simplify right side
    980.07x = 472,921.98
  5. Step 5: Solve for x
    x = 472,921.98/980.07
  6. Step 6: Final answer
    x = 482.54

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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.