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Finding the Fourth Proportional to 811.01, 1,214.23 and 517.79

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Solution

The fourth proportional to 811.01, 1,214.23 and 517.79 is: 775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.01 : 1,214.23 = 517.79 : x
  2. Step 2: Convert to fraction form
    811.01/1,214.23 = 517.79/x
  3. Step 3: Cross multiply
    811.01x = 1,214.23 × 517.79
  4. Step 4: Simplify right side
    811.01x = 628,716.15
  5. Step 5: Solve for x
    x = 628,716.15/811.01
  6. Step 6: Final answer
    x = 775.23

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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.