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Finding the Fourth Proportional to 512.73, 769.43 and 510.84

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Solution

The fourth proportional to 512.73, 769.43 and 510.84 is: 766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 769.43 = 510.84 : x
  2. Step 2: Convert to fraction form
    512.73/769.43 = 510.84/x
  3. Step 3: Cross multiply
    512.73x = 769.43 × 510.84
  4. Step 4: Simplify right side
    512.73x = 393,053.07
  5. Step 5: Solve for x
    x = 393,053.07/512.73
  6. Step 6: Final answer
    x = 766.59

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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.