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Finding the Fourth Proportional to 936.24, 1,292.13 and 543.20

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Solution

The fourth proportional to 936.24, 1,292.13 and 543.20 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.24 : 1,292.13 = 543.20 : x
  2. Step 2: Convert to fraction form
    936.24/1,292.13 = 543.20/x
  3. Step 3: Cross multiply
    936.24x = 1,292.13 × 543.20
  4. Step 4: Simplify right side
    936.24x = 701,878.56
  5. Step 5: Solve for x
    x = 701,878.56/936.24
  6. Step 6: Final answer
    x = 749.68

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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.