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Finding the Fourth Proportional to 811.83, 1,217.75 and 264.06

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Solution

The fourth proportional to 811.83, 1,217.75 and 264.06 is: 396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.83 : 1,217.75 = 264.06 : x
  2. Step 2: Convert to fraction form
    811.83/1,217.75 = 264.06/x
  3. Step 3: Cross multiply
    811.83x = 1,217.75 × 264.06
  4. Step 4: Simplify right side
    811.83x = 321,557.74
  5. Step 5: Solve for x
    x = 321,557.74/811.83
  6. Step 6: Final answer
    x = 396.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.