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Finding the Fourth Proportional to 1,699.26, 2,546.66 and 774.65

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Solution

The fourth proportional to 1,699.26, 2,546.66 and 774.65 is: 1,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.26 : 2,546.66 = 774.65 : x
  2. Step 2: Convert to fraction form
    1,699.26/2,546.66 = 774.65/x
  3. Step 3: Cross multiply
    1,699.26x = 2,546.66 × 774.65
  4. Step 4: Simplify right side
    1,699.26x = 1,972,753.56
  5. Step 5: Solve for x
    x = 1,972,753.56/1,699.26
  6. Step 6: Final answer
    x = 1,160.95

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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.