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Finding the Fourth Proportional to 980.25, 1,471.05 and 403.13

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Solution

The fourth proportional to 980.25, 1,471.05 and 403.13 is: 604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.25 : 1,471.05 = 403.13 : x
  2. Step 2: Convert to fraction form
    980.25/1,471.05 = 403.13/x
  3. Step 3: Cross multiply
    980.25x = 1,471.05 × 403.13
  4. Step 4: Simplify right side
    980.25x = 593,017.03
  5. Step 5: Solve for x
    x = 593,017.03/980.25
  6. Step 6: Final answer
    x = 604.97

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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.