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Finding the Fourth Proportional to 1,227.13, 1,691.07 and 784.26

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Solution

The fourth proportional to 1,227.13, 1,691.07 and 784.26 is: 1,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.13 : 1,691.07 = 784.26 : x
  2. Step 2: Convert to fraction form
    1,227.13/1,691.07 = 784.26/x
  3. Step 3: Cross multiply
    1,227.13x = 1,691.07 × 784.26
  4. Step 4: Simplify right side
    1,227.13x = 1,326,238.56
  5. Step 5: Solve for x
    x = 1,326,238.56/1,227.13
  6. Step 6: Final answer
    x = 1,080.76

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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.