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Finding the Fourth Proportional to 1,340.59, 1,849.71 and 809.56

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Solution

The fourth proportional to 1,340.59, 1,849.71 and 809.56 is: 1,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.59 : 1,849.71 = 809.56 : x
  2. Step 2: Convert to fraction form
    1,340.59/1,849.71 = 809.56/x
  3. Step 3: Cross multiply
    1,340.59x = 1,849.71 × 809.56
  4. Step 4: Simplify right side
    1,340.59x = 1,497,451.23
  5. Step 5: Solve for x
    x = 1,497,451.23/1,340.59
  6. Step 6: Final answer
    x = 1,117.01

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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.