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Finding the Fourth Proportional to 842.20, 1,161.61 and 562.30

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Solution

The fourth proportional to 842.20, 1,161.61 and 562.30 is: 775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.20 : 1,161.61 = 562.30 : x
  2. Step 2: Convert to fraction form
    842.20/1,161.61 = 562.30/x
  3. Step 3: Cross multiply
    842.20x = 1,161.61 × 562.30
  4. Step 4: Simplify right side
    842.20x = 653,173.30
  5. Step 5: Solve for x
    x = 653,173.30/842.20
  6. Step 6: Final answer
    x = 775.56

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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.