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Finding the Fourth Proportional to 936.34, 1,292.19 and 543.28

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Solution

The fourth proportional to 936.34, 1,292.19 and 543.28 is: 749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.34 : 1,292.19 = 543.28 : x
  2. Step 2: Convert to fraction form
    936.34/1,292.19 = 543.28/x
  3. Step 3: Cross multiply
    936.34x = 1,292.19 × 543.28
  4. Step 4: Simplify right side
    936.34x = 702,020.98
  5. Step 5: Solve for x
    x = 702,020.98/936.34
  6. Step 6: Final answer
    x = 749.75

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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.