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Finding the Fourth Proportional to 811.58, 1,217.82 and 378.74

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Solution

The fourth proportional to 811.58, 1,217.82 and 378.74 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.58 : 1,217.82 = 378.74 : x
  2. Step 2: Convert to fraction form
    811.58/1,217.82 = 378.74/x
  3. Step 3: Cross multiply
    811.58x = 1,217.82 × 378.74
  4. Step 4: Simplify right side
    811.58x = 461,231.06
  5. Step 5: Solve for x
    x = 461,231.06/811.58
  6. Step 6: Final answer
    x = 568.32

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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.