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Finding the Fourth Proportional to 982.22, 1,471.24 and 672.62

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Solution

The fourth proportional to 982.22, 1,471.24 and 672.62 is: 1,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.22 : 1,471.24 = 672.62 : x
  2. Step 2: Convert to fraction form
    982.22/1,471.24 = 672.62/x
  3. Step 3: Cross multiply
    982.22x = 1,471.24 × 672.62
  4. Step 4: Simplify right side
    982.22x = 989,585.45
  5. Step 5: Solve for x
    x = 989,585.45/982.22
  6. Step 6: Final answer
    x = 1,007.50

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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.