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Finding the Fourth Proportional to 692.71, 1,038.92 and 205.65

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Solution

The fourth proportional to 692.71, 1,038.92 and 205.65 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.71 : 1,038.92 = 205.65 : x
  2. Step 2: Convert to fraction form
    692.71/1,038.92 = 205.65/x
  3. Step 3: Cross multiply
    692.71x = 1,038.92 × 205.65
  4. Step 4: Simplify right side
    692.71x = 213,654.41
  5. Step 5: Solve for x
    x = 213,654.41/692.71
  6. Step 6: Final answer
    x = 308.43

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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.