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Finding the Fourth Proportional to 892.07, 1,344.19 and 733.31

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Solution

The fourth proportional to 892.07, 1,344.19 and 733.31 is: 1,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.07 : 1,344.19 = 733.31 : x
  2. Step 2: Convert to fraction form
    892.07/1,344.19 = 733.31/x
  3. Step 3: Cross multiply
    892.07x = 1,344.19 × 733.31
  4. Step 4: Simplify right side
    892.07x = 985,699.41
  5. Step 5: Solve for x
    x = 985,699.41/892.07
  6. Step 6: Final answer
    x = 1,104.96

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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.