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Finding the Fourth Proportional to 668.92, 998.25 and 596.02

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Solution

The fourth proportional to 668.92, 998.25 and 596.02 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.92 : 998.25 = 596.02 : x
  2. Step 2: Convert to fraction form
    668.92/998.25 = 596.02/x
  3. Step 3: Cross multiply
    668.92x = 998.25 × 596.02
  4. Step 4: Simplify right side
    668.92x = 594,976.97
  5. Step 5: Solve for x
    x = 594,976.97/668.92
  6. Step 6: Final answer
    x = 889.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.