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Finding the Fourth Proportional to 982.87, 1,473.09 and 496.06

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Solution

The fourth proportional to 982.87, 1,473.09 and 496.06 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.87 : 1,473.09 = 496.06 : x
  2. Step 2: Convert to fraction form
    982.87/1,473.09 = 496.06/x
  3. Step 3: Cross multiply
    982.87x = 1,473.09 × 496.06
  4. Step 4: Simplify right side
    982.87x = 730,735.48
  5. Step 5: Solve for x
    x = 730,735.48/982.87
  6. Step 6: Final answer
    x = 743.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.