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Finding the Fourth Proportional to 761.66, 1,142.33 and 213.72

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Solution

The fourth proportional to 761.66, 1,142.33 and 213.72 is: 320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.66 : 1,142.33 = 213.72 : x
  2. Step 2: Convert to fraction form
    761.66/1,142.33 = 213.72/x
  3. Step 3: Cross multiply
    761.66x = 1,142.33 × 213.72
  4. Step 4: Simplify right side
    761.66x = 244,138.77
  5. Step 5: Solve for x
    x = 244,138.77/761.66
  6. Step 6: Final answer
    x = 320.54

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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.