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Finding the Fourth Proportional to 866.31, 1,195.45 and 512.25

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Solution

The fourth proportional to 866.31, 1,195.45 and 512.25 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.31 : 1,195.45 = 512.25 : x
  2. Step 2: Convert to fraction form
    866.31/1,195.45 = 512.25/x
  3. Step 3: Cross multiply
    866.31x = 1,195.45 × 512.25
  4. Step 4: Simplify right side
    866.31x = 612,369.26
  5. Step 5: Solve for x
    x = 612,369.26/866.31
  6. Step 6: Final answer
    x = 706.87

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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.