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Finding the Fourth Proportional to 894.31, 1,233.70 and 579.49

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Solution

The fourth proportional to 894.31, 1,233.70 and 579.49 is: 799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.31 : 1,233.70 = 579.49 : x
  2. Step 2: Convert to fraction form
    894.31/1,233.70 = 579.49/x
  3. Step 3: Cross multiply
    894.31x = 1,233.70 × 579.49
  4. Step 4: Simplify right side
    894.31x = 714,912.28
  5. Step 5: Solve for x
    x = 714,912.28/894.31
  6. Step 6: Final answer
    x = 799.40

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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.