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Finding the Fourth Proportional to 794.96, 1,192.68 and 308.08

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Solution

The fourth proportional to 794.96, 1,192.68 and 308.08 is: 462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,192.68 = 308.08 : x
  2. Step 2: Convert to fraction form
    794.96/1,192.68 = 308.08/x
  3. Step 3: Cross multiply
    794.96x = 1,192.68 × 308.08
  4. Step 4: Simplify right side
    794.96x = 367,440.85
  5. Step 5: Solve for x
    x = 367,440.85/794.96
  6. Step 6: Final answer
    x = 462.21

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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.