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Finding the Fourth Proportional to 866.69, 1,196.43 and 512.49

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Solution

The fourth proportional to 866.69, 1,196.43 and 512.49 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.69 : 1,196.43 = 512.49 : x
  2. Step 2: Convert to fraction form
    866.69/1,196.43 = 512.49/x
  3. Step 3: Cross multiply
    866.69x = 1,196.43 × 512.49
  4. Step 4: Simplify right side
    866.69x = 613,158.41
  5. Step 5: Solve for x
    x = 613,158.41/866.69
  6. Step 6: Final answer
    x = 707.47

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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.