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Finding the Fourth Proportional to 808.69, 1,115.99 and 459.44

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Solution

The fourth proportional to 808.69, 1,115.99 and 459.44 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.69 : 1,115.99 = 459.44 : x
  2. Step 2: Convert to fraction form
    808.69/1,115.99 = 459.44/x
  3. Step 3: Cross multiply
    808.69x = 1,115.99 × 459.44
  4. Step 4: Simplify right side
    808.69x = 512,732.66
  5. Step 5: Solve for x
    x = 512,732.66/808.69
  6. Step 6: Final answer
    x = 634.03

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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.