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Finding the Fourth Proportional to 1,692.44, 2,538.64 and 459.97

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Solution

The fourth proportional to 1,692.44, 2,538.64 and 459.97 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.44 : 2,538.64 = 459.97 : x
  2. Step 2: Convert to fraction form
    1,692.44/2,538.64 = 459.97/x
  3. Step 3: Cross multiply
    1,692.44x = 2,538.64 × 459.97
  4. Step 4: Simplify right side
    1,692.44x = 1,167,698.24
  5. Step 5: Solve for x
    x = 1,167,698.24/1,692.44
  6. Step 6: Final answer
    x = 689.95

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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.