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Finding the Fourth Proportional to 927, 1,389.30 and 694.06

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Solution

The fourth proportional to 927, 1,389.30 and 694.06 is: 1,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    927 : 1,389.30 = 694.06 : x
  2. Step 2: Convert to fraction form
    927/1,389.30 = 694.06/x
  3. Step 3: Cross multiply
    927x = 1,389.30 × 694.06
  4. Step 4: Simplify right side
    927x = 964,257.56
  5. Step 5: Solve for x
    x = 964,257.56/927
  6. Step 6: Final answer
    x = 1,040.19

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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.