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Finding the Fourth Proportional to 1,273.77, 1,757.70 and 830.97

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Solution

The fourth proportional to 1,273.77, 1,757.70 and 830.97 is: 1,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.77 : 1,757.70 = 830.97 : x
  2. Step 2: Convert to fraction form
    1,273.77/1,757.70 = 830.97/x
  3. Step 3: Cross multiply
    1,273.77x = 1,757.70 × 830.97
  4. Step 4: Simplify right side
    1,273.77x = 1,460,595.97
  5. Step 5: Solve for x
    x = 1,460,595.97/1,273.77
  6. Step 6: Final answer
    x = 1,146.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.