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Finding the Fourth Proportional to 1,295.93, 1,941.17 and 809.33

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Solution

The fourth proportional to 1,295.93, 1,941.17 and 809.33 is: 1,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.93 : 1,941.17 = 809.33 : x
  2. Step 2: Convert to fraction form
    1,295.93/1,941.17 = 809.33/x
  3. Step 3: Cross multiply
    1,295.93x = 1,941.17 × 809.33
  4. Step 4: Simplify right side
    1,295.93x = 1,571,033.36
  5. Step 5: Solve for x
    x = 1,571,033.36/1,295.93
  6. Step 6: Final answer
    x = 1,212.28

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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.