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Finding the Fourth Proportional to 1,340.60, 1,849.78 and 809.32

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Solution

The fourth proportional to 1,340.60, 1,849.78 and 809.32 is: 1,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.60 : 1,849.78 = 809.32 : x
  2. Step 2: Convert to fraction form
    1,340.60/1,849.78 = 809.32/x
  3. Step 3: Cross multiply
    1,340.60x = 1,849.78 × 809.32
  4. Step 4: Simplify right side
    1,340.60x = 1,497,063.95
  5. Step 5: Solve for x
    x = 1,497,063.95/1,340.60
  6. Step 6: Final answer
    x = 1,116.71

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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.