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Finding the Fourth Proportional to 994.20, 1,370.70 and 825.72

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Solution

The fourth proportional to 994.20, 1,370.70 and 825.72 is: 1,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,370.70 = 825.72 : x
  2. Step 2: Convert to fraction form
    994.20/1,370.70 = 825.72/x
  3. Step 3: Cross multiply
    994.20x = 1,370.70 × 825.72
  4. Step 4: Simplify right side
    994.20x = 1,131,814.40
  5. Step 5: Solve for x
    x = 1,131,814.40/994.20
  6. Step 6: Final answer
    x = 1,138.42

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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.