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Finding the Fourth Proportional to 808.36, 1,212.71 and 461.86

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Solution

The fourth proportional to 808.36, 1,212.71 and 461.86 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.36 : 1,212.71 = 461.86 : x
  2. Step 2: Convert to fraction form
    808.36/1,212.71 = 461.86/x
  3. Step 3: Cross multiply
    808.36x = 1,212.71 × 461.86
  4. Step 4: Simplify right side
    808.36x = 560,093.87
  5. Step 5: Solve for x
    x = 560,093.87/808.36
  6. Step 6: Final answer
    x = 692.88

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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.