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Finding the Fourth Proportional to 811.91, 1,217.75 and 264.09

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Solution

The fourth proportional to 811.91, 1,217.75 and 264.09 is: 396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.91 : 1,217.75 = 264.09 : x
  2. Step 2: Convert to fraction form
    811.91/1,217.75 = 264.09/x
  3. Step 3: Cross multiply
    811.91x = 1,217.75 × 264.09
  4. Step 4: Simplify right side
    811.91x = 321,598.84
  5. Step 5: Solve for x
    x = 321,598.84/811.91
  6. Step 6: Final answer
    x = 396.10

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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.