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Finding the Fourth Proportional to 692.05, 1,037.96 and 281.17

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Solution

The fourth proportional to 692.05, 1,037.96 and 281.17 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.05 : 1,037.96 = 281.17 : x
  2. Step 2: Convert to fraction form
    692.05/1,037.96 = 281.17/x
  3. Step 3: Cross multiply
    692.05x = 1,037.96 × 281.17
  4. Step 4: Simplify right side
    692.05x = 291,836.62
  5. Step 5: Solve for x
    x = 291,836.62/692.05
  6. Step 6: Final answer
    x = 421.70

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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.