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Finding the Fourth Proportional to 892.29, 1,335.78 and 798.43

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Solution

The fourth proportional to 892.29, 1,335.78 and 798.43 is: 1,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.29 : 1,335.78 = 798.43 : x
  2. Step 2: Convert to fraction form
    892.29/1,335.78 = 798.43/x
  3. Step 3: Cross multiply
    892.29x = 1,335.78 × 798.43
  4. Step 4: Simplify right side
    892.29x = 1,066,528.62
  5. Step 5: Solve for x
    x = 1,066,528.62/892.29
  6. Step 6: Final answer
    x = 1,195.27

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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.