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Finding the Fourth Proportional to 980.31, 1,469.04 and 614.05

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Solution

The fourth proportional to 980.31, 1,469.04 and 614.05 is: 920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.31 : 1,469.04 = 614.05 : x
  2. Step 2: Convert to fraction form
    980.31/1,469.04 = 614.05/x
  3. Step 3: Cross multiply
    980.31x = 1,469.04 × 614.05
  4. Step 4: Simplify right side
    980.31x = 902,064.01
  5. Step 5: Solve for x
    x = 902,064.01/980.31
  6. Step 6: Final answer
    x = 920.18

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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.