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Finding the Fourth Proportional to 808.77, 1,213.17 and 346.05

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Solution

The fourth proportional to 808.77, 1,213.17 and 346.05 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.77 : 1,213.17 = 346.05 : x
  2. Step 2: Convert to fraction form
    808.77/1,213.17 = 346.05/x
  3. Step 3: Cross multiply
    808.77x = 1,213.17 × 346.05
  4. Step 4: Simplify right side
    808.77x = 419,817.48
  5. Step 5: Solve for x
    x = 419,817.48/808.77
  6. Step 6: Final answer
    x = 519.08

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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.