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Finding the Fourth Proportional to 1,372.09, 2,058.09 and 398.29

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Solution

The fourth proportional to 1,372.09, 2,058.09 and 398.29 is: 597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.09 : 2,058.09 = 398.29 : x
  2. Step 2: Convert to fraction form
    1,372.09/2,058.09 = 398.29/x
  3. Step 3: Cross multiply
    1,372.09x = 2,058.09 × 398.29
  4. Step 4: Simplify right side
    1,372.09x = 819,716.67
  5. Step 5: Solve for x
    x = 819,716.67/1,372.09
  6. Step 6: Final answer
    x = 597.42

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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.