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Finding the Fourth Proportional to 885.29, 1,327.66 and 819.41

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Solution

The fourth proportional to 885.29, 1,327.66 and 819.41 is: 1,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.29 : 1,327.66 = 819.41 : x
  2. Step 2: Convert to fraction form
    885.29/1,327.66 = 819.41/x
  3. Step 3: Cross multiply
    885.29x = 1,327.66 × 819.41
  4. Step 4: Simplify right side
    885.29x = 1,087,889.19
  5. Step 5: Solve for x
    x = 1,087,889.19/885.29
  6. Step 6: Final answer
    x = 1,228.86

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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.