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Finding the Fourth Proportional to 1,276.00, 1,760.43 and 834.16

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Solution

The fourth proportional to 1,276.00, 1,760.43 and 834.16 is: 1,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.00 : 1,760.43 = 834.16 : x
  2. Step 2: Convert to fraction form
    1,276.00/1,760.43 = 834.16/x
  3. Step 3: Cross multiply
    1,276.00x = 1,760.43 × 834.16
  4. Step 4: Simplify right side
    1,276.00x = 1,468,477.62
  5. Step 5: Solve for x
    x = 1,468,477.62/1,276.00
  6. Step 6: Final answer
    x = 1,150.84

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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.