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Finding the Fourth Proportional to 866.49, 1,196.37 and 535.02

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Solution

The fourth proportional to 866.49, 1,196.37 and 535.02 is: 738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.49 : 1,196.37 = 535.02 : x
  2. Step 2: Convert to fraction form
    866.49/1,196.37 = 535.02/x
  3. Step 3: Cross multiply
    866.49x = 1,196.37 × 535.02
  4. Step 4: Simplify right side
    866.49x = 640,081.88
  5. Step 5: Solve for x
    x = 640,081.88/866.49
  6. Step 6: Final answer
    x = 738.71

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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.