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Finding the Fourth Proportional to 980.10, 1,469.22 and 492.54

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Solution

The fourth proportional to 980.10, 1,469.22 and 492.54 is: 738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.10 : 1,469.22 = 492.54 : x
  2. Step 2: Convert to fraction form
    980.10/1,469.22 = 492.54/x
  3. Step 3: Cross multiply
    980.10x = 1,469.22 × 492.54
  4. Step 4: Simplify right side
    980.10x = 723,649.62
  5. Step 5: Solve for x
    x = 723,649.62/980.10
  6. Step 6: Final answer
    x = 738.34

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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.