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Finding the Fourth Proportional to 681.60, 1,021.77 and 462.09

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Solution

The fourth proportional to 681.60, 1,021.77 and 462.09 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.60 : 1,021.77 = 462.09 : x
  2. Step 2: Convert to fraction form
    681.60/1,021.77 = 462.09/x
  3. Step 3: Cross multiply
    681.60x = 1,021.77 × 462.09
  4. Step 4: Simplify right side
    681.60x = 472,149.70
  5. Step 5: Solve for x
    x = 472,149.70/681.60
  6. Step 6: Final answer
    x = 692.71

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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.