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Finding the Fourth Proportional to 866.24, 1,195.50 and 512.27

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Solution

The fourth proportional to 866.24, 1,195.50 and 512.27 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.24 : 1,195.50 = 512.27 : x
  2. Step 2: Convert to fraction form
    866.24/1,195.50 = 512.27/x
  3. Step 3: Cross multiply
    866.24x = 1,195.50 × 512.27
  4. Step 4: Simplify right side
    866.24x = 612,418.79
  5. Step 5: Solve for x
    x = 612,418.79/866.24
  6. Step 6: Final answer
    x = 706.99

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Why These Related Problems?

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