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Finding the Fourth Proportional to 994.70, 1,370.12 and 837.14

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Solution

The fourth proportional to 994.70, 1,370.12 and 837.14 is: 1,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.70 : 1,370.12 = 837.14 : x
  2. Step 2: Convert to fraction form
    994.70/1,370.12 = 837.14/x
  3. Step 3: Cross multiply
    994.70x = 1,370.12 × 837.14
  4. Step 4: Simplify right side
    994.70x = 1,146,982.26
  5. Step 5: Solve for x
    x = 1,146,982.26/994.70
  6. Step 6: Final answer
    x = 1,153.09

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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.