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Finding the Fourth Proportional to 1,122.77, 1,682.43 and 575.09

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Solution

The fourth proportional to 1,122.77, 1,682.43 and 575.09 is: 861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.77 : 1,682.43 = 575.09 : x
  2. Step 2: Convert to fraction form
    1,122.77/1,682.43 = 575.09/x
  3. Step 3: Cross multiply
    1,122.77x = 1,682.43 × 575.09
  4. Step 4: Simplify right side
    1,122.77x = 967,540.26
  5. Step 5: Solve for x
    x = 967,540.26/1,122.77
  6. Step 6: Final answer
    x = 861.75

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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.