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Finding the Fourth Proportional to 927.09, 1,279.36 and 507.43

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Solution

The fourth proportional to 927.09, 1,279.36 and 507.43 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.09 : 1,279.36 = 507.43 : x
  2. Step 2: Convert to fraction form
    927.09/1,279.36 = 507.43/x
  3. Step 3: Cross multiply
    927.09x = 1,279.36 × 507.43
  4. Step 4: Simplify right side
    927.09x = 649,183.08
  5. Step 5: Solve for x
    x = 649,183.08/927.09
  6. Step 6: Final answer
    x = 700.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.