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Finding the Fourth Proportional to 892.58, 1,335.92 and 809.46

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Solution

The fourth proportional to 892.58, 1,335.92 and 809.46 is: 1,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.58 : 1,335.92 = 809.46 : x
  2. Step 2: Convert to fraction form
    892.58/1,335.92 = 809.46/x
  3. Step 3: Cross multiply
    892.58x = 1,335.92 × 809.46
  4. Step 4: Simplify right side
    892.58x = 1,081,369.76
  5. Step 5: Solve for x
    x = 1,081,369.76/892.58
  6. Step 6: Final answer
    x = 1,211.52

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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.