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Finding the Fourth Proportional to 884.43, 1,326.42 and 578.43

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Solution

The fourth proportional to 884.43, 1,326.42 and 578.43 is: 867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.43 : 1,326.42 = 578.43 : x
  2. Step 2: Convert to fraction form
    884.43/1,326.42 = 578.43/x
  3. Step 3: Cross multiply
    884.43x = 1,326.42 × 578.43
  4. Step 4: Simplify right side
    884.43x = 767,241.12
  5. Step 5: Solve for x
    x = 767,241.12/884.43
  6. Step 6: Final answer
    x = 867.50

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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.