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Finding the Fourth Proportional to 943.88, 1,414.79 and 806.51

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Solution

The fourth proportional to 943.88, 1,414.79 and 806.51 is: 1,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,414.79 = 806.51 : x
  2. Step 2: Convert to fraction form
    943.88/1,414.79 = 806.51/x
  3. Step 3: Cross multiply
    943.88x = 1,414.79 × 806.51
  4. Step 4: Simplify right side
    943.88x = 1,141,031.18
  5. Step 5: Solve for x
    x = 1,141,031.18/943.88
  6. Step 6: Final answer
    x = 1,208.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.