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Finding the Fourth Proportional to 1,324.24, 1,982.60 and 673.60

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Solution

The fourth proportional to 1,324.24, 1,982.60 and 673.60 is: 1,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.24 : 1,982.60 = 673.60 : x
  2. Step 2: Convert to fraction form
    1,324.24/1,982.60 = 673.60/x
  3. Step 3: Cross multiply
    1,324.24x = 1,982.60 × 673.60
  4. Step 4: Simplify right side
    1,324.24x = 1,335,479.36
  5. Step 5: Solve for x
    x = 1,335,479.36/1,324.24
  6. Step 6: Final answer
    x = 1,008.49

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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.