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Finding the Fourth Proportional to 692.46, 1,038.69 and 205.56

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Solution

The fourth proportional to 692.46, 1,038.69 and 205.56 is: 308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 1,038.69 = 205.56 : x
  2. Step 2: Convert to fraction form
    692.46/1,038.69 = 205.56/x
  3. Step 3: Cross multiply
    692.46x = 1,038.69 × 205.56
  4. Step 4: Simplify right side
    692.46x = 213,513.12
  5. Step 5: Solve for x
    x = 213,513.12/692.46
  6. Step 6: Final answer
    x = 308.34

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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.