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Finding the Fourth Proportional to 794.92, 1,193.07 and 650.33

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Solution

The fourth proportional to 794.92, 1,193.07 and 650.33 is: 976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,193.07 = 650.33 : x
  2. Step 2: Convert to fraction form
    794.92/1,193.07 = 650.33/x
  3. Step 3: Cross multiply
    794.92x = 1,193.07 × 650.33
  4. Step 4: Simplify right side
    794.92x = 775,889.21
  5. Step 5: Solve for x
    x = 775,889.21/794.92
  6. Step 6: Final answer
    x = 976.07

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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.