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Finding the Fourth Proportional to 1,692.56, 2,538.81 and 522.99

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Solution

The fourth proportional to 1,692.56, 2,538.81 and 522.99 is: 784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.56 : 2,538.81 = 522.99 : x
  2. Step 2: Convert to fraction form
    1,692.56/2,538.81 = 522.99/x
  3. Step 3: Cross multiply
    1,692.56x = 2,538.81 × 522.99
  4. Step 4: Simplify right side
    1,692.56x = 1,327,772.24
  5. Step 5: Solve for x
    x = 1,327,772.24/1,692.56
  6. Step 6: Final answer
    x = 784.47

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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.