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Finding the Fourth Proportional to 1,423.94, 1,964.49 and 834.26

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Solution

The fourth proportional to 1,423.94, 1,964.49 and 834.26 is: 1,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.94 : 1,964.49 = 834.26 : x
  2. Step 2: Convert to fraction form
    1,423.94/1,964.49 = 834.26/x
  3. Step 3: Cross multiply
    1,423.94x = 1,964.49 × 834.26
  4. Step 4: Simplify right side
    1,423.94x = 1,638,895.43
  5. Step 5: Solve for x
    x = 1,638,895.43/1,423.94
  6. Step 6: Final answer
    x = 1,150.96

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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.