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Finding the Fourth Proportional to 1,323.82, 1,984.32 and 445.49

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Solution

The fourth proportional to 1,323.82, 1,984.32 and 445.49 is: 667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.82 : 1,984.32 = 445.49 : x
  2. Step 2: Convert to fraction form
    1,323.82/1,984.32 = 445.49/x
  3. Step 3: Cross multiply
    1,323.82x = 1,984.32 × 445.49
  4. Step 4: Simplify right side
    1,323.82x = 883,984.80
  5. Step 5: Solve for x
    x = 883,984.80/1,323.82
  6. Step 6: Final answer
    x = 667.75

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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.