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Finding the Fourth Proportional to 692.17, 1,037.88 and 205.15

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Solution

The fourth proportional to 692.17, 1,037.88 and 205.15 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.17 : 1,037.88 = 205.15 : x
  2. Step 2: Convert to fraction form
    692.17/1,037.88 = 205.15/x
  3. Step 3: Cross multiply
    692.17x = 1,037.88 × 205.15
  4. Step 4: Simplify right side
    692.17x = 212,921.08
  5. Step 5: Solve for x
    x = 212,921.08/692.17
  6. Step 6: Final answer
    x = 307.61

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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.