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Finding the Fourth Proportional to 808.86, 1,213.53 and 346.41

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Solution

The fourth proportional to 808.86, 1,213.53 and 346.41 is: 519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.86 : 1,213.53 = 346.41 : x
  2. Step 2: Convert to fraction form
    808.86/1,213.53 = 346.41/x
  3. Step 3: Cross multiply
    808.86x = 1,213.53 × 346.41
  4. Step 4: Simplify right side
    808.86x = 420,378.93
  5. Step 5: Solve for x
    x = 420,378.93/808.86
  6. Step 6: Final answer
    x = 519.72

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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.