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Finding the Fourth Proportional to 983.22, 1,475.16 and 495.87

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Solution

The fourth proportional to 983.22, 1,475.16 and 495.87 is: 743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.22 : 1,475.16 = 495.87 : x
  2. Step 2: Convert to fraction form
    983.22/1,475.16 = 495.87/x
  3. Step 3: Cross multiply
    983.22x = 1,475.16 × 495.87
  4. Step 4: Simplify right side
    983.22x = 731,487.59
  5. Step 5: Solve for x
    x = 731,487.59/983.22
  6. Step 6: Final answer
    x = 743.97

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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.