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Finding the Fourth Proportional to 884.80, 1,326.40 and 576.80

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Solution

The fourth proportional to 884.80, 1,326.40 and 576.80 is: 864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.80 : 1,326.40 = 576.80 : x
  2. Step 2: Convert to fraction form
    884.80/1,326.40 = 576.80/x
  3. Step 3: Cross multiply
    884.80x = 1,326.40 × 576.80
  4. Step 4: Simplify right side
    884.80x = 765,067.52
  5. Step 5: Solve for x
    x = 765,067.52/884.80
  6. Step 6: Final answer
    x = 864.68

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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.