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Finding the Fourth Proportional to 1,276.34, 1,760.90 and 834.50

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Solution

The fourth proportional to 1,276.34, 1,760.90 and 834.50 is: 1,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.34 : 1,760.90 = 834.50 : x
  2. Step 2: Convert to fraction form
    1,276.34/1,760.90 = 834.50/x
  3. Step 3: Cross multiply
    1,276.34x = 1,760.90 × 834.50
  4. Step 4: Simplify right side
    1,276.34x = 1,469,471.05
  5. Step 5: Solve for x
    x = 1,469,471.05/1,276.34
  6. Step 6: Final answer
    x = 1,151.32

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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.