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Finding the Fourth Proportional to 796.88, 1,186.66 and 794

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Solution

The fourth proportional to 796.88, 1,186.66 and 794 is: 1,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.88 : 1,186.66 = 794 : x
  2. Step 2: Convert to fraction form
    796.88/1,186.66 = 794/x
  3. Step 3: Cross multiply
    796.88x = 1,186.66 × 794
  4. Step 4: Simplify right side
    796.88x = 942,208.04
  5. Step 5: Solve for x
    x = 942,208.04/796.88
  6. Step 6: Final answer
    x = 1,182.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.