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Finding the Fourth Proportional to 1,006.89, 1,389.30 and 727.56

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Solution

The fourth proportional to 1,006.89, 1,389.30 and 727.56 is: 1,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.89 : 1,389.30 = 727.56 : x
  2. Step 2: Convert to fraction form
    1,006.89/1,389.30 = 727.56/x
  3. Step 3: Cross multiply
    1,006.89x = 1,389.30 × 727.56
  4. Step 4: Simplify right side
    1,006.89x = 1,010,799.11
  5. Step 5: Solve for x
    x = 1,010,799.11/1,006.89
  6. Step 6: Final answer
    x = 1,003.88

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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.