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Finding the Fourth Proportional to 794.67, 1,192.26 and 301.35

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Solution

The fourth proportional to 794.67, 1,192.26 and 301.35 is: 452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.67 : 1,192.26 = 301.35 : x
  2. Step 2: Convert to fraction form
    794.67/1,192.26 = 301.35/x
  3. Step 3: Cross multiply
    794.67x = 1,192.26 × 301.35
  4. Step 4: Simplify right side
    794.67x = 359,287.55
  5. Step 5: Solve for x
    x = 359,287.55/794.67
  6. Step 6: Final answer
    x = 452.12

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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.