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Finding the Fourth Proportional to 674.10, 1,010.16 and 519.48

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Solution

The fourth proportional to 674.10, 1,010.16 and 519.48 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 1,010.16 = 519.48 : x
  2. Step 2: Convert to fraction form
    674.10/1,010.16 = 519.48/x
  3. Step 3: Cross multiply
    674.10x = 1,010.16 × 519.48
  4. Step 4: Simplify right side
    674.10x = 524,757.92
  5. Step 5: Solve for x
    x = 524,757.92/674.10
  6. Step 6: Final answer
    x = 778.46

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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.