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Finding the Fourth Proportional to 768.91, 1,151.44 and 475.21

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Solution

The fourth proportional to 768.91, 1,151.44 and 475.21 is: 711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.91 : 1,151.44 = 475.21 : x
  2. Step 2: Convert to fraction form
    768.91/1,151.44 = 475.21/x
  3. Step 3: Cross multiply
    768.91x = 1,151.44 × 475.21
  4. Step 4: Simplify right side
    768.91x = 547,173.52
  5. Step 5: Solve for x
    x = 547,173.52/768.91
  6. Step 6: Final answer
    x = 711.62

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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.