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Finding the Fourth Proportional to 842.35, 1,161.91 and 543.99

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Solution

The fourth proportional to 842.35, 1,161.91 and 543.99 is: 750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.35 : 1,161.91 = 543.99 : x
  2. Step 2: Convert to fraction form
    842.35/1,161.91 = 543.99/x
  3. Step 3: Cross multiply
    842.35x = 1,161.91 × 543.99
  4. Step 4: Simplify right side
    842.35x = 632,067.42
  5. Step 5: Solve for x
    x = 632,067.42/842.35
  6. Step 6: Final answer
    x = 750.36

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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.