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Finding the Fourth Proportional to 1,371.70, 2,058.33 and 825.22

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Solution

The fourth proportional to 1,371.70, 2,058.33 and 825.22 is: 1,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.70 : 2,058.33 = 825.22 : x
  2. Step 2: Convert to fraction form
    1,371.70/2,058.33 = 825.22/x
  3. Step 3: Cross multiply
    1,371.70x = 2,058.33 × 825.22
  4. Step 4: Simplify right side
    1,371.70x = 1,698,575.08
  5. Step 5: Solve for x
    x = 1,698,575.08/1,371.70
  6. Step 6: Final answer
    x = 1,238.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.