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Finding the Fourth Proportional to 1,122.57, 1,682.82 and 537.21

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Solution

The fourth proportional to 1,122.57, 1,682.82 and 537.21 is: 805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.57 : 1,682.82 = 537.21 : x
  2. Step 2: Convert to fraction form
    1,122.57/1,682.82 = 537.21/x
  3. Step 3: Cross multiply
    1,122.57x = 1,682.82 × 537.21
  4. Step 4: Simplify right side
    1,122.57x = 904,027.73
  5. Step 5: Solve for x
    x = 904,027.73/1,122.57
  6. Step 6: Final answer
    x = 805.32

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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.