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Finding the Fourth Proportional to 1,340.34, 1,849.37 and 809.31

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Solution

The fourth proportional to 1,340.34, 1,849.37 and 809.31 is: 1,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.34 : 1,849.37 = 809.31 : x
  2. Step 2: Convert to fraction form
    1,340.34/1,849.37 = 809.31/x
  3. Step 3: Cross multiply
    1,340.34x = 1,849.37 × 809.31
  4. Step 4: Simplify right side
    1,340.34x = 1,496,713.63
  5. Step 5: Solve for x
    x = 1,496,713.63/1,340.34
  6. Step 6: Final answer
    x = 1,116.67

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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.