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Finding the Fourth Proportional to 986.43, 1,478.23 and 724.37

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Solution

The fourth proportional to 986.43, 1,478.23 and 724.37 is: 1,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.43 : 1,478.23 = 724.37 : x
  2. Step 2: Convert to fraction form
    986.43/1,478.23 = 724.37/x
  3. Step 3: Cross multiply
    986.43x = 1,478.23 × 724.37
  4. Step 4: Simplify right side
    986.43x = 1,070,793.72
  5. Step 5: Solve for x
    x = 1,070,793.72/986.43
  6. Step 6: Final answer
    x = 1,085.52

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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.