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Finding the Fourth Proportional to 794.93, 1,191.66 and 308.34

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Solution

The fourth proportional to 794.93, 1,191.66 and 308.34 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.93 : 1,191.66 = 308.34 : x
  2. Step 2: Convert to fraction form
    794.93/1,191.66 = 308.34/x
  3. Step 3: Cross multiply
    794.93x = 1,191.66 × 308.34
  4. Step 4: Simplify right side
    794.93x = 367,436.44
  5. Step 5: Solve for x
    x = 367,436.44/794.93
  6. Step 6: Final answer
    x = 462.23

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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.