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Finding the Fourth Proportional to 894.75, 1,233.41 and 769.74

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Solution

The fourth proportional to 894.75, 1,233.41 and 769.74 is: 1,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,233.41 = 769.74 : x
  2. Step 2: Convert to fraction form
    894.75/1,233.41 = 769.74/x
  3. Step 3: Cross multiply
    894.75x = 1,233.41 × 769.74
  4. Step 4: Simplify right side
    894.75x = 949,401.16
  5. Step 5: Solve for x
    x = 949,401.16/894.75
  6. Step 6: Final answer
    x = 1,061.08

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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.