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Finding the Fourth Proportional to 936.38, 1,291.46 and 727.19

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Solution

The fourth proportional to 936.38, 1,291.46 and 727.19 is: 1,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.38 : 1,291.46 = 727.19 : x
  2. Step 2: Convert to fraction form
    936.38/1,291.46 = 727.19/x
  3. Step 3: Cross multiply
    936.38x = 1,291.46 × 727.19
  4. Step 4: Simplify right side
    936.38x = 939,126.70
  5. Step 5: Solve for x
    x = 939,126.70/936.38
  6. Step 6: Final answer
    x = 1,002.94

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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.