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Finding the Fourth Proportional to 692.20, 1,037.82 and 259.24

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Solution

The fourth proportional to 692.20, 1,037.82 and 259.24 is: 388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.20 : 1,037.82 = 259.24 : x
  2. Step 2: Convert to fraction form
    692.20/1,037.82 = 259.24/x
  3. Step 3: Cross multiply
    692.20x = 1,037.82 × 259.24
  4. Step 4: Simplify right side
    692.20x = 269,044.46
  5. Step 5: Solve for x
    x = 269,044.46/692.20
  6. Step 6: Final answer
    x = 388.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.