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Finding the Fourth Proportional to 547.68, 817.84 and 519.60

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Solution

The fourth proportional to 547.68, 817.84 and 519.60 is: 775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 817.84 = 519.60 : x
  2. Step 2: Convert to fraction form
    547.68/817.84 = 519.60/x
  3. Step 3: Cross multiply
    547.68x = 817.84 × 519.60
  4. Step 4: Simplify right side
    547.68x = 424,949.66
  5. Step 5: Solve for x
    x = 424,949.66/547.68
  6. Step 6: Final answer
    x = 775.91

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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.