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Finding the Fourth Proportional to 983.26, 1,474.42 and 397.80

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Solution

The fourth proportional to 983.26, 1,474.42 and 397.80 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.26 : 1,474.42 = 397.80 : x
  2. Step 2: Convert to fraction form
    983.26/1,474.42 = 397.80/x
  3. Step 3: Cross multiply
    983.26x = 1,474.42 × 397.80
  4. Step 4: Simplify right side
    983.26x = 586,524.28
  5. Step 5: Solve for x
    x = 586,524.28/983.26
  6. Step 6: Final answer
    x = 596.51

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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.