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Finding the Fourth Proportional to 692.70, 1,039.01 and 205.76

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Solution

The fourth proportional to 692.70, 1,039.01 and 205.76 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,039.01 = 205.76 : x
  2. Step 2: Convert to fraction form
    692.70/1,039.01 = 205.76/x
  3. Step 3: Cross multiply
    692.70x = 1,039.01 × 205.76
  4. Step 4: Simplify right side
    692.70x = 213,780.47
  5. Step 5: Solve for x
    x = 213,780.47/692.70
  6. Step 6: Final answer
    x = 308.62

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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.