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Finding the Fourth Proportional to 936.02, 1,291.78 and 543.04

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Solution

The fourth proportional to 936.02, 1,291.78 and 543.04 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.02 : 1,291.78 = 543.04 : x
  2. Step 2: Convert to fraction form
    936.02/1,291.78 = 543.04/x
  3. Step 3: Cross multiply
    936.02x = 1,291.78 × 543.04
  4. Step 4: Simplify right side
    936.02x = 701,488.21
  5. Step 5: Solve for x
    x = 701,488.21/936.02
  6. Step 6: Final answer
    x = 749.44

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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.