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Finding the Fourth Proportional to 852.89, 1,273.38 and 844.07

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Solution

The fourth proportional to 852.89, 1,273.38 and 844.07 is: 1,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.89 : 1,273.38 = 844.07 : x
  2. Step 2: Convert to fraction form
    852.89/1,273.38 = 844.07/x
  3. Step 3: Cross multiply
    852.89x = 1,273.38 × 844.07
  4. Step 4: Simplify right side
    852.89x = 1,074,815.49
  5. Step 5: Solve for x
    x = 1,074,815.49/852.89
  6. Step 6: Final answer
    x = 1,260.21

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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.