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Finding the Fourth Proportional to 674.05, 1,009.73 and 519.44

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Solution

The fourth proportional to 674.05, 1,009.73 and 519.44 is: 778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.05 : 1,009.73 = 519.44 : x
  2. Step 2: Convert to fraction form
    674.05/1,009.73 = 519.44/x
  3. Step 3: Cross multiply
    674.05x = 1,009.73 × 519.44
  4. Step 4: Simplify right side
    674.05x = 524,489.10
  5. Step 5: Solve for x
    x = 524,489.10/674.05
  6. Step 6: Final answer
    x = 778.12

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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.