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Finding the Fourth Proportional to 881.20, 1,215.52 and 582.45

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Solution

The fourth proportional to 881.20, 1,215.52 and 582.45 is: 803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.20 : 1,215.52 = 582.45 : x
  2. Step 2: Convert to fraction form
    881.20/1,215.52 = 582.45/x
  3. Step 3: Cross multiply
    881.20x = 1,215.52 × 582.45
  4. Step 4: Simplify right side
    881.20x = 707,979.62
  5. Step 5: Solve for x
    x = 707,979.62/881.20
  6. Step 6: Final answer
    x = 803.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.