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Finding the Fourth Proportional to 974.11, 1,454.06 and 851.09

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Solution

The fourth proportional to 974.11, 1,454.06 and 851.09 is: 1,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.11 : 1,454.06 = 851.09 : x
  2. Step 2: Convert to fraction form
    974.11/1,454.06 = 851.09/x
  3. Step 3: Cross multiply
    974.11x = 1,454.06 × 851.09
  4. Step 4: Simplify right side
    974.11x = 1,237,536.57
  5. Step 5: Solve for x
    x = 1,237,536.57/974.11
  6. Step 6: Final answer
    x = 1,270.43

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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.