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Finding the Fourth Proportional to 936.24, 1,291.71 and 543.12

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Solution

The fourth proportional to 936.24, 1,291.71 and 543.12 is: 749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.24 : 1,291.71 = 543.12 : x
  2. Step 2: Convert to fraction form
    936.24/1,291.71 = 543.12/x
  3. Step 3: Cross multiply
    936.24x = 1,291.71 × 543.12
  4. Step 4: Simplify right side
    936.24x = 701,553.54
  5. Step 5: Solve for x
    x = 701,553.54/936.24
  6. Step 6: Final answer
    x = 749.33

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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.