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Finding the Fourth Proportional to 983.14, 1,474.68 and 495.84

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Solution

The fourth proportional to 983.14, 1,474.68 and 495.84 is: 743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.14 : 1,474.68 = 495.84 : x
  2. Step 2: Convert to fraction form
    983.14/1,474.68 = 495.84/x
  3. Step 3: Cross multiply
    983.14x = 1,474.68 × 495.84
  4. Step 4: Simplify right side
    983.14x = 731,205.33
  5. Step 5: Solve for x
    x = 731,205.33/983.14
  6. Step 6: Final answer
    x = 743.74

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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.