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Finding the Fourth Proportional to 692.37, 1,038.66 and 205.37

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Solution

The fourth proportional to 692.37, 1,038.66 and 205.37 is: 308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.37 : 1,038.66 = 205.37 : x
  2. Step 2: Convert to fraction form
    692.37/1,038.66 = 205.37/x
  3. Step 3: Cross multiply
    692.37x = 1,038.66 × 205.37
  4. Step 4: Simplify right side
    692.37x = 213,304.41
  5. Step 5: Solve for x
    x = 213,304.41/692.37
  6. Step 6: Final answer
    x = 308.08

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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.