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Finding the Fourth Proportional to 692.86, 1,033.85 and 688.80

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Solution

The fourth proportional to 692.86, 1,033.85 and 688.80 is: 1,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.86 : 1,033.85 = 688.80 : x
  2. Step 2: Convert to fraction form
    692.86/1,033.85 = 688.80/x
  3. Step 3: Cross multiply
    692.86x = 1,033.85 × 688.80
  4. Step 4: Simplify right side
    692.86x = 712,115.88
  5. Step 5: Solve for x
    x = 712,115.88/692.86
  6. Step 6: Final answer
    x = 1,027.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.