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Finding the Fourth Proportional to 892.43, 1,345.33 and 832.96

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Solution

The fourth proportional to 892.43, 1,345.33 and 832.96 is: 1,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.43 : 1,345.33 = 832.96 : x
  2. Step 2: Convert to fraction form
    892.43/1,345.33 = 832.96/x
  3. Step 3: Cross multiply
    892.43x = 1,345.33 × 832.96
  4. Step 4: Simplify right side
    892.43x = 1,120,600.63
  5. Step 5: Solve for x
    x = 1,120,600.63/892.43
  6. Step 6: Final answer
    x = 1,255.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.