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Finding the Fourth Proportional to 674.12, 1,012.14 and 512.84

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Solution

The fourth proportional to 674.12, 1,012.14 and 512.84 is: 769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.12 : 1,012.14 = 512.84 : x
  2. Step 2: Convert to fraction form
    674.12/1,012.14 = 512.84/x
  3. Step 3: Cross multiply
    674.12x = 1,012.14 × 512.84
  4. Step 4: Simplify right side
    674.12x = 519,065.88
  5. Step 5: Solve for x
    x = 519,065.88/674.12
  6. Step 6: Final answer
    x = 769.99

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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.