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Finding the Fourth Proportional to 811.88, 1,217.84 and 264.12

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Solution

The fourth proportional to 811.88, 1,217.84 and 264.12 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,217.84 = 264.12 : x
  2. Step 2: Convert to fraction form
    811.88/1,217.84 = 264.12/x
  3. Step 3: Cross multiply
    811.88x = 1,217.84 × 264.12
  4. Step 4: Simplify right side
    811.88x = 321,654.58
  5. Step 5: Solve for x
    x = 321,654.58/811.88
  6. Step 6: Final answer
    x = 396.19

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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.