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Finding the Fourth Proportional to 927.24, 1,389.24 and 682.62

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Solution

The fourth proportional to 927.24, 1,389.24 and 682.62 is: 1,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.24 : 1,389.24 = 682.62 : x
  2. Step 2: Convert to fraction form
    927.24/1,389.24 = 682.62/x
  3. Step 3: Cross multiply
    927.24x = 1,389.24 × 682.62
  4. Step 4: Simplify right side
    927.24x = 948,323.01
  5. Step 5: Solve for x
    x = 948,323.01/927.24
  6. Step 6: Final answer
    x = 1,022.74

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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.