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Finding the Fourth Proportional to 980.74, 1,471.20 and 322.42

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Solution

The fourth proportional to 980.74, 1,471.20 and 322.42 is: 483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.74 : 1,471.20 = 322.42 : x
  2. Step 2: Convert to fraction form
    980.74/1,471.20 = 322.42/x
  3. Step 3: Cross multiply
    980.74x = 1,471.20 × 322.42
  4. Step 4: Simplify right side
    980.74x = 474,344.30
  5. Step 5: Solve for x
    x = 474,344.30/980.74
  6. Step 6: Final answer
    x = 483.66

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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.