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Finding the Fourth Proportional to 983.09, 1,474.33 and 324.85

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Solution

The fourth proportional to 983.09, 1,474.33 and 324.85 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.09 : 1,474.33 = 324.85 : x
  2. Step 2: Convert to fraction form
    983.09/1,474.33 = 324.85/x
  3. Step 3: Cross multiply
    983.09x = 1,474.33 × 324.85
  4. Step 4: Simplify right side
    983.09x = 478,928.73
  5. Step 5: Solve for x
    x = 478,928.73/983.09
  6. Step 6: Final answer
    x = 487.17

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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.