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Finding the Fourth Proportional to 692.37, 1,038.71 and 205.46

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Solution

The fourth proportional to 692.37, 1,038.71 and 205.46 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.37 : 1,038.71 = 205.46 : x
  2. Step 2: Convert to fraction form
    692.37/1,038.71 = 205.46/x
  3. Step 3: Cross multiply
    692.37x = 1,038.71 × 205.46
  4. Step 4: Simplify right side
    692.37x = 213,407.14
  5. Step 5: Solve for x
    x = 213,407.14/692.37
  6. Step 6: Final answer
    x = 308.23

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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.