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Finding the Fourth Proportional to 855.68, 1,180.32 and 519.44

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Solution

The fourth proportional to 855.68, 1,180.32 and 519.44 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.68 : 1,180.32 = 519.44 : x
  2. Step 2: Convert to fraction form
    855.68/1,180.32 = 519.44/x
  3. Step 3: Cross multiply
    855.68x = 1,180.32 × 519.44
  4. Step 4: Simplify right side
    855.68x = 613,105.42
  5. Step 5: Solve for x
    x = 613,105.42/855.68
  6. Step 6: Final answer
    x = 716.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.