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Finding the Fourth Proportional to 994.50, 1,372.46 and 645.80

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Solution

The fourth proportional to 994.50, 1,372.46 and 645.80 is: 891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.50 : 1,372.46 = 645.80 : x
  2. Step 2: Convert to fraction form
    994.50/1,372.46 = 645.80/x
  3. Step 3: Cross multiply
    994.50x = 1,372.46 × 645.80
  4. Step 4: Simplify right side
    994.50x = 886,324.58
  5. Step 5: Solve for x
    x = 886,324.58/994.50
  6. Step 6: Final answer
    x = 891.23

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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.