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Finding the Fourth Proportional to 891.23, 1,336.84 and 313.97

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Solution

The fourth proportional to 891.23, 1,336.84 and 313.97 is: 470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.23 : 1,336.84 = 313.97 : x
  2. Step 2: Convert to fraction form
    891.23/1,336.84 = 313.97/x
  3. Step 3: Cross multiply
    891.23x = 1,336.84 × 313.97
  4. Step 4: Simplify right side
    891.23x = 419,720.19
  5. Step 5: Solve for x
    x = 419,720.19/891.23
  6. Step 6: Final answer
    x = 470.95

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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.