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Finding the Fourth Proportional to 692.77, 1,040.15 and 680.47

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Solution

The fourth proportional to 692.77, 1,040.15 and 680.47 is: 1,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.77 : 1,040.15 = 680.47 : x
  2. Step 2: Convert to fraction form
    692.77/1,040.15 = 680.47/x
  3. Step 3: Cross multiply
    692.77x = 1,040.15 × 680.47
  4. Step 4: Simplify right side
    692.77x = 707,790.87
  5. Step 5: Solve for x
    x = 707,790.87/692.77
  6. Step 6: Final answer
    x = 1,021.68

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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.