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Finding the Fourth Proportional to 866.36, 1,195.92 and 535.10

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Solution

The fourth proportional to 866.36, 1,195.92 and 535.10 is: 738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.36 : 1,195.92 = 535.10 : x
  2. Step 2: Convert to fraction form
    866.36/1,195.92 = 535.10/x
  3. Step 3: Cross multiply
    866.36x = 1,195.92 × 535.10
  4. Step 4: Simplify right side
    866.36x = 639,936.79
  5. Step 5: Solve for x
    x = 639,936.79/866.36
  6. Step 6: Final answer
    x = 738.65

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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.