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Finding the Fourth Proportional to 766.72, 1,150.07 and 211.43

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Solution

The fourth proportional to 766.72, 1,150.07 and 211.43 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.72 : 1,150.07 = 211.43 : x
  2. Step 2: Convert to fraction form
    766.72/1,150.07 = 211.43/x
  3. Step 3: Cross multiply
    766.72x = 1,150.07 × 211.43
  4. Step 4: Simplify right side
    766.72x = 243,157.52
  5. Step 5: Solve for x
    x = 243,157.52/766.72
  6. Step 6: Final answer
    x = 317.14

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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.