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Finding the Fourth Proportional to 886.23, 1,327.82 and 809.07

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Solution

The fourth proportional to 886.23, 1,327.82 and 809.07 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,327.82 = 809.07 : x
  2. Step 2: Convert to fraction form
    886.23/1,327.82 = 809.07/x
  3. Step 3: Cross multiply
    886.23x = 1,327.82 × 809.07
  4. Step 4: Simplify right side
    886.23x = 1,074,295.28
  5. Step 5: Solve for x
    x = 1,074,295.28/886.23
  6. Step 6: Final answer
    x = 1,212.21

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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.