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Finding the Fourth Proportional to 1,504.63, 2,254.83 and 809.74

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Solution

The fourth proportional to 1,504.63, 2,254.83 and 809.74 is: 1,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.63 : 2,254.83 = 809.74 : x
  2. Step 2: Convert to fraction form
    1,504.63/2,254.83 = 809.74/x
  3. Step 3: Cross multiply
    1,504.63x = 2,254.83 × 809.74
  4. Step 4: Simplify right side
    1,504.63x = 1,825,826.04
  5. Step 5: Solve for x
    x = 1,825,826.04/1,504.63
  6. Step 6: Final answer
    x = 1,213.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.