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Finding the Fourth Proportional to 927.99, 1,279.93 and 680.31

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Solution

The fourth proportional to 927.99, 1,279.93 and 680.31 is: 938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.99 : 1,279.93 = 680.31 : x
  2. Step 2: Convert to fraction form
    927.99/1,279.93 = 680.31/x
  3. Step 3: Cross multiply
    927.99x = 1,279.93 × 680.31
  4. Step 4: Simplify right side
    927.99x = 870,749.18
  5. Step 5: Solve for x
    x = 870,749.18/927.99
  6. Step 6: Final answer
    x = 938.32

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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.