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Finding the Fourth Proportional to 894.16, 1,234.29 and 599.60

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Solution

The fourth proportional to 894.16, 1,234.29 and 599.60 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,234.29 = 599.60 : x
  2. Step 2: Convert to fraction form
    894.16/1,234.29 = 599.60/x
  3. Step 3: Cross multiply
    894.16x = 1,234.29 × 599.60
  4. Step 4: Simplify right side
    894.16x = 740,082.25
  5. Step 5: Solve for x
    x = 740,082.25/894.16
  6. Step 6: Final answer
    x = 827.68

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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.