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Finding the Fourth Proportional to 936.62, 1,292.14 and 543.56

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Solution

The fourth proportional to 936.62, 1,292.14 and 543.56 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.62 : 1,292.14 = 543.56 : x
  2. Step 2: Convert to fraction form
    936.62/1,292.14 = 543.56/x
  3. Step 3: Cross multiply
    936.62x = 1,292.14 × 543.56
  4. Step 4: Simplify right side
    936.62x = 702,355.62
  5. Step 5: Solve for x
    x = 702,355.62/936.62
  6. Step 6: Final answer
    x = 749.88

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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.