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Finding the Fourth Proportional to 1,275.46, 1,905.44 and 809.50

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Solution

The fourth proportional to 1,275.46, 1,905.44 and 809.50 is: 1,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.46 : 1,905.44 = 809.50 : x
  2. Step 2: Convert to fraction form
    1,275.46/1,905.44 = 809.50/x
  3. Step 3: Cross multiply
    1,275.46x = 1,905.44 × 809.50
  4. Step 4: Simplify right side
    1,275.46x = 1,542,453.68
  5. Step 5: Solve for x
    x = 1,542,453.68/1,275.46
  6. Step 6: Final answer
    x = 1,209.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.