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Finding the Fourth Proportional to 1,424.09, 1,964.76 and 834.21

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Solution

The fourth proportional to 1,424.09, 1,964.76 and 834.21 is: 1,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.09 : 1,964.76 = 834.21 : x
  2. Step 2: Convert to fraction form
    1,424.09/1,964.76 = 834.21/x
  3. Step 3: Cross multiply
    1,424.09x = 1,964.76 × 834.21
  4. Step 4: Simplify right side
    1,424.09x = 1,639,022.44
  5. Step 5: Solve for x
    x = 1,639,022.44/1,424.09
  6. Step 6: Final answer
    x = 1,150.93

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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.