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Finding the Fourth Proportional to 1,227.69, 1,694.18 and 785.50

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Solution

The fourth proportional to 1,227.69, 1,694.18 and 785.50 is: 1,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.69 : 1,694.18 = 785.50 : x
  2. Step 2: Convert to fraction form
    1,227.69/1,694.18 = 785.50/x
  3. Step 3: Cross multiply
    1,227.69x = 1,694.18 × 785.50
  4. Step 4: Simplify right side
    1,227.69x = 1,330,776.12
  5. Step 5: Solve for x
    x = 1,330,776.12/1,227.69
  6. Step 6: Final answer
    x = 1,083.97

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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.