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Finding the Fourth Proportional to 825.92, 1,243.67 and 596.37

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Solution

The fourth proportional to 825.92, 1,243.67 and 596.37 is: 898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.92 : 1,243.67 = 596.37 : x
  2. Step 2: Convert to fraction form
    825.92/1,243.67 = 596.37/x
  3. Step 3: Cross multiply
    825.92x = 1,243.67 × 596.37
  4. Step 4: Simplify right side
    825.92x = 741,684.50
  5. Step 5: Solve for x
    x = 741,684.50/825.92
  6. Step 6: Final answer
    x = 898.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.