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Finding the Fourth Proportional to 894.33, 1,232.94 and 771.30

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Solution

The fourth proportional to 894.33, 1,232.94 and 771.30 is: 1,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.33 : 1,232.94 = 771.30 : x
  2. Step 2: Convert to fraction form
    894.33/1,232.94 = 771.30/x
  3. Step 3: Cross multiply
    894.33x = 1,232.94 × 771.30
  4. Step 4: Simplify right side
    894.33x = 950,966.62
  5. Step 5: Solve for x
    x = 950,966.62/894.33
  6. Step 6: Final answer
    x = 1,063.33

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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.