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Finding the Fourth Proportional to 1,398.83, 1,929.66 and 839.03

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Solution

The fourth proportional to 1,398.83, 1,929.66 and 839.03 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.83 : 1,929.66 = 839.03 : x
  2. Step 2: Convert to fraction form
    1,398.83/1,929.66 = 839.03/x
  3. Step 3: Cross multiply
    1,398.83x = 1,929.66 × 839.03
  4. Step 4: Simplify right side
    1,398.83x = 1,619,042.63
  5. Step 5: Solve for x
    x = 1,619,042.63/1,398.83
  6. Step 6: Final answer
    x = 1,157.43

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