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Finding the Fourth Proportional to 761.67, 1,142.69 and 213.85

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Solution

The fourth proportional to 761.67, 1,142.69 and 213.85 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.67 : 1,142.69 = 213.85 : x
  2. Step 2: Convert to fraction form
    761.67/1,142.69 = 213.85/x
  3. Step 3: Cross multiply
    761.67x = 1,142.69 × 213.85
  4. Step 4: Simplify right side
    761.67x = 244,364.26
  5. Step 5: Solve for x
    x = 244,364.26/761.67
  6. Step 6: Final answer
    x = 320.83

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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.