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Finding the Fourth Proportional to 866.84, 1,196.17 and 512.80

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Solution

The fourth proportional to 866.84, 1,196.17 and 512.80 is: 707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.84 : 1,196.17 = 512.80 : x
  2. Step 2: Convert to fraction form
    866.84/1,196.17 = 512.80/x
  3. Step 3: Cross multiply
    866.84x = 1,196.17 × 512.80
  4. Step 4: Simplify right side
    866.84x = 613,391.70
  5. Step 5: Solve for x
    x = 613,391.70/866.84
  6. Step 6: Final answer
    x = 707.62

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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.