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Finding the Fourth Proportional to 866.44, 1,192.05 and 756.17

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Solution

The fourth proportional to 866.44, 1,192.05 and 756.17 is: 1,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.44 : 1,192.05 = 756.17 : x
  2. Step 2: Convert to fraction form
    866.44/1,192.05 = 756.17/x
  3. Step 3: Cross multiply
    866.44x = 1,192.05 × 756.17
  4. Step 4: Simplify right side
    866.44x = 901,392.45
  5. Step 5: Solve for x
    x = 901,392.45/866.44
  6. Step 6: Final answer
    x = 1,040.34

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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.