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Finding the Fourth Proportional to 1,351.82, 2,027.48 and 571.58

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Solution

The fourth proportional to 1,351.82, 2,027.48 and 571.58 is: 857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.82 : 2,027.48 = 571.58 : x
  2. Step 2: Convert to fraction form
    1,351.82/2,027.48 = 571.58/x
  3. Step 3: Cross multiply
    1,351.82x = 2,027.48 × 571.58
  4. Step 4: Simplify right side
    1,351.82x = 1,158,867.02
  5. Step 5: Solve for x
    x = 1,158,867.02/1,351.82
  6. Step 6: Final answer
    x = 857.26

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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.