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Finding the Fourth Proportional to 692.62, 1,037.49 and 327.70

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Solution

The fourth proportional to 692.62, 1,037.49 and 327.70 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.62 : 1,037.49 = 327.70 : x
  2. Step 2: Convert to fraction form
    692.62/1,037.49 = 327.70/x
  3. Step 3: Cross multiply
    692.62x = 1,037.49 × 327.70
  4. Step 4: Simplify right side
    692.62x = 339,985.47
  5. Step 5: Solve for x
    x = 339,985.47/692.62
  6. Step 6: Final answer
    x = 490.87

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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.