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Finding the Fourth Proportional to 794.60, 1,192.16 and 378.31

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Solution

The fourth proportional to 794.60, 1,192.16 and 378.31 is: 567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.60 : 1,192.16 = 378.31 : x
  2. Step 2: Convert to fraction form
    794.60/1,192.16 = 378.31/x
  3. Step 3: Cross multiply
    794.60x = 1,192.16 × 378.31
  4. Step 4: Simplify right side
    794.60x = 451,006.05
  5. Step 5: Solve for x
    x = 451,006.05/794.60
  6. Step 6: Final answer
    x = 567.59

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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.