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Finding the Fourth Proportional to 866.13, 1,195.41 and 512.03

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Solution

The fourth proportional to 866.13, 1,195.41 and 512.03 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.13 : 1,195.41 = 512.03 : x
  2. Step 2: Convert to fraction form
    866.13/1,195.41 = 512.03/x
  3. Step 3: Cross multiply
    866.13x = 1,195.41 × 512.03
  4. Step 4: Simplify right side
    866.13x = 612,085.78
  5. Step 5: Solve for x
    x = 612,085.78/866.13
  6. Step 6: Final answer
    x = 706.69

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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.