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Finding the Fourth Proportional to 820.52, 1,231.06 and 512.60

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Solution

The fourth proportional to 820.52, 1,231.06 and 512.60 is: 769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.52 : 1,231.06 = 512.60 : x
  2. Step 2: Convert to fraction form
    820.52/1,231.06 = 512.60/x
  3. Step 3: Cross multiply
    820.52x = 1,231.06 × 512.60
  4. Step 4: Simplify right side
    820.52x = 631,041.36
  5. Step 5: Solve for x
    x = 631,041.36/820.52
  6. Step 6: Final answer
    x = 769.07

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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.