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Finding the Fourth Proportional to 894.60, 1,233.77 and 599.85

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Solution

The fourth proportional to 894.60, 1,233.77 and 599.85 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.60 : 1,233.77 = 599.85 : x
  2. Step 2: Convert to fraction form
    894.60/1,233.77 = 599.85/x
  3. Step 3: Cross multiply
    894.60x = 1,233.77 × 599.85
  4. Step 4: Simplify right side
    894.60x = 740,073.94
  5. Step 5: Solve for x
    x = 740,073.94/894.60
  6. Step 6: Final answer
    x = 827.27

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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.