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Finding the Fourth Proportional to 794.48, 1,189.55 and 408.92

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Solution

The fourth proportional to 794.48, 1,189.55 and 408.92 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.48 : 1,189.55 = 408.92 : x
  2. Step 2: Convert to fraction form
    794.48/1,189.55 = 408.92/x
  3. Step 3: Cross multiply
    794.48x = 1,189.55 × 408.92
  4. Step 4: Simplify right side
    794.48x = 486,425.86
  5. Step 5: Solve for x
    x = 486,425.86/794.48
  6. Step 6: Final answer
    x = 612.26

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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.