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Finding the Fourth Proportional to 1,389.43, 1,917.41 and 768.43

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Solution

The fourth proportional to 1,389.43, 1,917.41 and 768.43 is: 1,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.43 : 1,917.41 = 768.43 : x
  2. Step 2: Convert to fraction form
    1,389.43/1,917.41 = 768.43/x
  3. Step 3: Cross multiply
    1,389.43x = 1,917.41 × 768.43
  4. Step 4: Simplify right side
    1,389.43x = 1,473,386.73
  5. Step 5: Solve for x
    x = 1,473,386.73/1,389.43
  6. Step 6: Final answer
    x = 1,060.43

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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.