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Finding the Fourth Proportional to 761.56, 1,142.38 and 213.80

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Solution

The fourth proportional to 761.56, 1,142.38 and 213.80 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.56 : 1,142.38 = 213.80 : x
  2. Step 2: Convert to fraction form
    761.56/1,142.38 = 213.80/x
  3. Step 3: Cross multiply
    761.56x = 1,142.38 × 213.80
  4. Step 4: Simplify right side
    761.56x = 244,241.83
  5. Step 5: Solve for x
    x = 244,241.83/761.56
  6. Step 6: Final answer
    x = 320.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.