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Finding the Fourth Proportional to 994.92, 1,372.32 and 658.68

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Solution

The fourth proportional to 994.92, 1,372.32 and 658.68 is: 908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.92 : 1,372.32 = 658.68 : x
  2. Step 2: Convert to fraction form
    994.92/1,372.32 = 658.68/x
  3. Step 3: Cross multiply
    994.92x = 1,372.32 × 658.68
  4. Step 4: Simplify right side
    994.92x = 903,919.74
  5. Step 5: Solve for x
    x = 903,919.74/994.92
  6. Step 6: Final answer
    x = 908.54

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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.