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Finding the Fourth Proportional to 980.43, 1,469.94 and 460.14

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Solution

The fourth proportional to 980.43, 1,469.94 and 460.14 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.43 : 1,469.94 = 460.14 : x
  2. Step 2: Convert to fraction form
    980.43/1,469.94 = 460.14/x
  3. Step 3: Cross multiply
    980.43x = 1,469.94 × 460.14
  4. Step 4: Simplify right side
    980.43x = 676,378.19
  5. Step 5: Solve for x
    x = 676,378.19/980.43
  6. Step 6: Final answer
    x = 689.88

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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.