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Finding the Fourth Proportional to 1,427.30, 1,969.64 and 806.30

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Solution

The fourth proportional to 1,427.30, 1,969.64 and 806.30 is: 1,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.30 : 1,969.64 = 806.30 : x
  2. Step 2: Convert to fraction form
    1,427.30/1,969.64 = 806.30/x
  3. Step 3: Cross multiply
    1,427.30x = 1,969.64 × 806.30
  4. Step 4: Simplify right side
    1,427.30x = 1,588,120.73
  5. Step 5: Solve for x
    x = 1,588,120.73/1,427.30
  6. Step 6: Final answer
    x = 1,112.67

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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.