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Finding the Fourth Proportional to 1,291, 1,781.65 and 794.17

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Solution

The fourth proportional to 1,291, 1,781.65 and 794.17 is: 1,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291 : 1,781.65 = 794.17 : x
  2. Step 2: Convert to fraction form
    1,291/1,781.65 = 794.17/x
  3. Step 3: Cross multiply
    1,291x = 1,781.65 × 794.17
  4. Step 4: Simplify right side
    1,291x = 1,414,932.98
  5. Step 5: Solve for x
    x = 1,414,932.98/1,291
  6. Step 6: Final answer
    x = 1,096.00

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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.