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Finding the Fourth Proportional to 1,692.68, 2,538.11 and 522.33

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Solution

The fourth proportional to 1,692.68, 2,538.11 and 522.33 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.68 : 2,538.11 = 522.33 : x
  2. Step 2: Convert to fraction form
    1,692.68/2,538.11 = 522.33/x
  3. Step 3: Cross multiply
    1,692.68x = 2,538.11 × 522.33
  4. Step 4: Simplify right side
    1,692.68x = 1,325,735.59
  5. Step 5: Solve for x
    x = 1,325,735.59/1,692.68
  6. Step 6: Final answer
    x = 783.22

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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.