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Finding the Fourth Proportional to 1,694.05, 2,539.54 and 769.11

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Solution

The fourth proportional to 1,694.05, 2,539.54 and 769.11 is: 1,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.05 : 2,539.54 = 769.11 : x
  2. Step 2: Convert to fraction form
    1,694.05/2,539.54 = 769.11/x
  3. Step 3: Cross multiply
    1,694.05x = 2,539.54 × 769.11
  4. Step 4: Simplify right side
    1,694.05x = 1,953,191.33
  5. Step 5: Solve for x
    x = 1,953,191.33/1,694.05
  6. Step 6: Final answer
    x = 1,152.97

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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.