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Finding the Fourth Proportional to 894.56, 1,233 and 614.32

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Solution

The fourth proportional to 894.56, 1,233 and 614.32 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.56 : 1,233 = 614.32 : x
  2. Step 2: Convert to fraction form
    894.56/1,233 = 614.32/x
  3. Step 3: Cross multiply
    894.56x = 1,233 × 614.32
  4. Step 4: Simplify right side
    894.56x = 757,456.56
  5. Step 5: Solve for x
    x = 757,456.56/894.56
  6. Step 6: Final answer
    x = 846.74

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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.