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Finding the Fourth Proportional to 1,322.44, 1,982.94 and 673.48

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Solution

The fourth proportional to 1,322.44, 1,982.94 and 673.48 is: 1,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.44 : 1,982.94 = 673.48 : x
  2. Step 2: Convert to fraction form
    1,322.44/1,982.94 = 673.48/x
  3. Step 3: Cross multiply
    1,322.44x = 1,982.94 × 673.48
  4. Step 4: Simplify right side
    1,322.44x = 1,335,470.43
  5. Step 5: Solve for x
    x = 1,335,470.43/1,322.44
  6. Step 6: Final answer
    x = 1,009.85

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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.