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Finding the Fourth Proportional to 808.52, 1,212.23 and 412.97

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Solution

The fourth proportional to 808.52, 1,212.23 and 412.97 is: 619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.52 : 1,212.23 = 412.97 : x
  2. Step 2: Convert to fraction form
    808.52/1,212.23 = 412.97/x
  3. Step 3: Cross multiply
    808.52x = 1,212.23 × 412.97
  4. Step 4: Simplify right side
    808.52x = 500,609.59
  5. Step 5: Solve for x
    x = 500,609.59/808.52
  6. Step 6: Final answer
    x = 619.17

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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.