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Finding the Fourth Proportional to 1,231.54, 1,699.54 and 727.41

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Solution

The fourth proportional to 1,231.54, 1,699.54 and 727.41 is: 1,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.54 : 1,699.54 = 727.41 : x
  2. Step 2: Convert to fraction form
    1,231.54/1,699.54 = 727.41/x
  3. Step 3: Cross multiply
    1,231.54x = 1,699.54 × 727.41
  4. Step 4: Simplify right side
    1,231.54x = 1,236,257.39
  5. Step 5: Solve for x
    x = 1,236,257.39/1,231.54
  6. Step 6: Final answer
    x = 1,003.83

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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.