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Finding the Fourth Proportional to 927.06, 1,389.97 and 379.09

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Solution

The fourth proportional to 927.06, 1,389.97 and 379.09 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,389.97 = 379.09 : x
  2. Step 2: Convert to fraction form
    927.06/1,389.97 = 379.09/x
  3. Step 3: Cross multiply
    927.06x = 1,389.97 × 379.09
  4. Step 4: Simplify right side
    927.06x = 526,923.73
  5. Step 5: Solve for x
    x = 526,923.73/927.06
  6. Step 6: Final answer
    x = 568.38

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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.