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Finding the Fourth Proportional to 881.26, 1,216.17 and 582.75

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Solution

The fourth proportional to 881.26, 1,216.17 and 582.75 is: 804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.26 : 1,216.17 = 582.75 : x
  2. Step 2: Convert to fraction form
    881.26/1,216.17 = 582.75/x
  3. Step 3: Cross multiply
    881.26x = 1,216.17 × 582.75
  4. Step 4: Simplify right side
    881.26x = 708,723.07
  5. Step 5: Solve for x
    x = 708,723.07/881.26
  6. Step 6: Final answer
    x = 804.22

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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.