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Finding the Fourth Proportional to 894.81, 1,234.85 and 600.48

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Solution

The fourth proportional to 894.81, 1,234.85 and 600.48 is: 828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.81 : 1,234.85 = 600.48 : x
  2. Step 2: Convert to fraction form
    894.81/1,234.85 = 600.48/x
  3. Step 3: Cross multiply
    894.81x = 1,234.85 × 600.48
  4. Step 4: Simplify right side
    894.81x = 741,499.73
  5. Step 5: Solve for x
    x = 741,499.73/894.81
  6. Step 6: Final answer
    x = 828.66

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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.