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Finding the Fourth Proportional to 927.80, 1,389.67 and 806.30

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Solution

The fourth proportional to 927.80, 1,389.67 and 806.30 is: 1,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.80 : 1,389.67 = 806.30 : x
  2. Step 2: Convert to fraction form
    927.80/1,389.67 = 806.30/x
  3. Step 3: Cross multiply
    927.80x = 1,389.67 × 806.30
  4. Step 4: Simplify right side
    927.80x = 1,120,490.92
  5. Step 5: Solve for x
    x = 1,120,490.92/927.80
  6. Step 6: Final answer
    x = 1,207.69

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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.