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Finding the Fourth Proportional to 927.39, 1,389.87 and 694.45

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Solution

The fourth proportional to 927.39, 1,389.87 and 694.45 is: 1,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.39 : 1,389.87 = 694.45 : x
  2. Step 2: Convert to fraction form
    927.39/1,389.87 = 694.45/x
  3. Step 3: Cross multiply
    927.39x = 1,389.87 × 694.45
  4. Step 4: Simplify right side
    927.39x = 965,194.35
  5. Step 5: Solve for x
    x = 965,194.35/927.39
  6. Step 6: Final answer
    x = 1,040.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.