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Finding the Fourth Proportional to 1,227.26, 1,694.14 and 785.06

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Solution

The fourth proportional to 1,227.26, 1,694.14 and 785.06 is: 1,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.26 : 1,694.14 = 785.06 : x
  2. Step 2: Convert to fraction form
    1,227.26/1,694.14 = 785.06/x
  3. Step 3: Cross multiply
    1,227.26x = 1,694.14 × 785.06
  4. Step 4: Simplify right side
    1,227.26x = 1,330,001.55
  5. Step 5: Solve for x
    x = 1,330,001.55/1,227.26
  6. Step 6: Final answer
    x = 1,083.72

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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.