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Finding the Fourth Proportional to 1,795.69, 2,694 and 563.14

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Solution

The fourth proportional to 1,795.69, 2,694 and 563.14 is: 844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.69 : 2,694 = 563.14 : x
  2. Step 2: Convert to fraction form
    1,795.69/2,694 = 563.14/x
  3. Step 3: Cross multiply
    1,795.69x = 2,694 × 563.14
  4. Step 4: Simplify right side
    1,795.69x = 1,517,085.69
  5. Step 5: Solve for x
    x = 1,517,085.69/1,795.69
  6. Step 6: Final answer
    x = 844.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.