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Finding the Fourth Proportional to 820.99, 1,231.78 and 512.49

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Solution

The fourth proportional to 820.99, 1,231.78 and 512.49 is: 768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.99 : 1,231.78 = 512.49 : x
  2. Step 2: Convert to fraction form
    820.99/1,231.78 = 512.49/x
  3. Step 3: Cross multiply
    820.99x = 1,231.78 × 512.49
  4. Step 4: Simplify right side
    820.99x = 631,275.48
  5. Step 5: Solve for x
    x = 631,275.48/820.99
  6. Step 6: Final answer
    x = 768.92

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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.