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Finding the Fourth Proportional to 692.75, 1,039.13 and 179.75

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Solution

The fourth proportional to 692.75, 1,039.13 and 179.75 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 1,039.13 = 179.75 : x
  2. Step 2: Convert to fraction form
    692.75/1,039.13 = 179.75/x
  3. Step 3: Cross multiply
    692.75x = 1,039.13 × 179.75
  4. Step 4: Simplify right side
    692.75x = 186,783.62
  5. Step 5: Solve for x
    x = 186,783.62/692.75
  6. Step 6: Final answer
    x = 269.63

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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.