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Finding the Fourth Proportional to 674.76, 1,012.26 and 514.44

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Solution

The fourth proportional to 674.76, 1,012.26 and 514.44 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 1,012.26 = 514.44 : x
  2. Step 2: Convert to fraction form
    674.76/1,012.26 = 514.44/x
  3. Step 3: Cross multiply
    674.76x = 1,012.26 × 514.44
  4. Step 4: Simplify right side
    674.76x = 520,747.03
  5. Step 5: Solve for x
    x = 520,747.03/674.76
  6. Step 6: Final answer
    x = 771.75

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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.