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Finding the Fourth Proportional to 894.50, 1,233.06 and 769.49

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Solution

The fourth proportional to 894.50, 1,233.06 and 769.49 is: 1,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.50 : 1,233.06 = 769.49 : x
  2. Step 2: Convert to fraction form
    894.50/1,233.06 = 769.49/x
  3. Step 3: Cross multiply
    894.50x = 1,233.06 × 769.49
  4. Step 4: Simplify right side
    894.50x = 948,827.34
  5. Step 5: Solve for x
    x = 948,827.34/894.50
  6. Step 6: Final answer
    x = 1,060.73

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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.