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Finding the Fourth Proportional to 692.33, 1,039.67 and 462.69

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Solution

The fourth proportional to 692.33, 1,039.67 and 462.69 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.33 : 1,039.67 = 462.69 : x
  2. Step 2: Convert to fraction form
    692.33/1,039.67 = 462.69/x
  3. Step 3: Cross multiply
    692.33x = 1,039.67 × 462.69
  4. Step 4: Simplify right side
    692.33x = 481,042.60
  5. Step 5: Solve for x
    x = 481,042.60/692.33
  6. Step 6: Final answer
    x = 694.82

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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.