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Finding the Fourth Proportional to 1,273.14, 1,755.81 and 942.39

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Solution

The fourth proportional to 1,273.14, 1,755.81 and 942.39 is: 1,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.14 : 1,755.81 = 942.39 : x
  2. Step 2: Convert to fraction form
    1,273.14/1,755.81 = 942.39/x
  3. Step 3: Cross multiply
    1,273.14x = 1,755.81 × 942.39
  4. Step 4: Simplify right side
    1,273.14x = 1,654,657.79
  5. Step 5: Solve for x
    x = 1,654,657.79/1,273.14
  6. Step 6: Final answer
    x = 1,299.67

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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.