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Finding the Fourth Proportional to 1,398.54, 1,930.33 and 839.37

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Solution

The fourth proportional to 1,398.54, 1,930.33 and 839.37 is: 1,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.54 : 1,930.33 = 839.37 : x
  2. Step 2: Convert to fraction form
    1,398.54/1,930.33 = 839.37/x
  3. Step 3: Cross multiply
    1,398.54x = 1,930.33 × 839.37
  4. Step 4: Simplify right side
    1,398.54x = 1,620,261.09
  5. Step 5: Solve for x
    x = 1,620,261.09/1,398.54
  6. Step 6: Final answer
    x = 1,158.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.