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Finding the Fourth Proportional to 866.25, 1,195.43 and 555.75

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Solution

The fourth proportional to 866.25, 1,195.43 and 555.75 is: 766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.25 : 1,195.43 = 555.75 : x
  2. Step 2: Convert to fraction form
    866.25/1,195.43 = 555.75/x
  3. Step 3: Cross multiply
    866.25x = 1,195.43 × 555.75
  4. Step 4: Simplify right side
    866.25x = 664,357.44
  5. Step 5: Solve for x
    x = 664,357.44/866.25
  6. Step 6: Final answer
    x = 766.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.