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Finding the Fourth Proportional to 535.84, 796.55 and 519.44

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Solution

The fourth proportional to 535.84, 796.55 and 519.44 is: 772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 796.55 = 519.44 : x
  2. Step 2: Convert to fraction form
    535.84/796.55 = 519.44/x
  3. Step 3: Cross multiply
    535.84x = 796.55 × 519.44
  4. Step 4: Simplify right side
    535.84x = 413,753.35
  5. Step 5: Solve for x
    x = 413,753.35/535.84
  6. Step 6: Final answer
    x = 772.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.