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Finding the Fourth Proportional to 983.34, 1,474.20 and 496.14

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Solution

The fourth proportional to 983.34, 1,474.20 and 496.14 is: 743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.34 : 1,474.20 = 496.14 : x
  2. Step 2: Convert to fraction form
    983.34/1,474.20 = 496.14/x
  3. Step 3: Cross multiply
    983.34x = 1,474.20 × 496.14
  4. Step 4: Simplify right side
    983.34x = 731,409.59
  5. Step 5: Solve for x
    x = 731,409.59/983.34
  6. Step 6: Final answer
    x = 743.80

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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.