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Finding the Fourth Proportional to 891.11, 1,231.13 and 743.69

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Solution

The fourth proportional to 891.11, 1,231.13 and 743.69 is: 1,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.11 : 1,231.13 = 743.69 : x
  2. Step 2: Convert to fraction form
    891.11/1,231.13 = 743.69/x
  3. Step 3: Cross multiply
    891.11x = 1,231.13 × 743.69
  4. Step 4: Simplify right side
    891.11x = 915,575.35
  5. Step 5: Solve for x
    x = 915,575.35/891.11
  6. Step 6: Final answer
    x = 1,027.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.