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Finding the Fourth Proportional to 936.20, 1,292.00 and 543.26

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Solution

The fourth proportional to 936.20, 1,292.00 and 543.26 is: 749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,292.00 = 543.26 : x
  2. Step 2: Convert to fraction form
    936.20/1,292.00 = 543.26/x
  3. Step 3: Cross multiply
    936.20x = 1,292.00 × 543.26
  4. Step 4: Simplify right side
    936.20x = 701,892.43
  5. Step 5: Solve for x
    x = 701,892.43/936.20
  6. Step 6: Final answer
    x = 749.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.