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Finding the Fourth Proportional to 894.06, 1,232.82 and 613.80

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Solution

The fourth proportional to 894.06, 1,232.82 and 613.80 is: 846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.06 : 1,232.82 = 613.80 : x
  2. Step 2: Convert to fraction form
    894.06/1,232.82 = 613.80/x
  3. Step 3: Cross multiply
    894.06x = 1,232.82 × 613.80
  4. Step 4: Simplify right side
    894.06x = 756,704.92
  5. Step 5: Solve for x
    x = 756,704.92/894.06
  6. Step 6: Final answer
    x = 846.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.