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Finding the Fourth Proportional to 886.27, 1,326.16 and 742.09

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Solution

The fourth proportional to 886.27, 1,326.16 and 742.09 is: 1,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.27 : 1,326.16 = 742.09 : x
  2. Step 2: Convert to fraction form
    886.27/1,326.16 = 742.09/x
  3. Step 3: Cross multiply
    886.27x = 1,326.16 × 742.09
  4. Step 4: Simplify right side
    886.27x = 984,130.07
  5. Step 5: Solve for x
    x = 984,130.07/886.27
  6. Step 6: Final answer
    x = 1,110.42

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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.