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Finding the Fourth Proportional to 808.34, 1,213.01 and 397.53

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Solution

The fourth proportional to 808.34, 1,213.01 and 397.53 is: 596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.34 : 1,213.01 = 397.53 : x
  2. Step 2: Convert to fraction form
    808.34/1,213.01 = 397.53/x
  3. Step 3: Cross multiply
    808.34x = 1,213.01 × 397.53
  4. Step 4: Simplify right side
    808.34x = 482,205.88
  5. Step 5: Solve for x
    x = 482,205.88/808.34
  6. Step 6: Final answer
    x = 596.54

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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.