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Finding the Fourth Proportional to 1,260.57, 1,739.73 and 911.46

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Solution

The fourth proportional to 1,260.57, 1,739.73 and 911.46 is: 1,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.57 : 1,739.73 = 911.46 : x
  2. Step 2: Convert to fraction form
    1,260.57/1,739.73 = 911.46/x
  3. Step 3: Cross multiply
    1,260.57x = 1,739.73 × 911.46
  4. Step 4: Simplify right side
    1,260.57x = 1,585,694.31
  5. Step 5: Solve for x
    x = 1,585,694.31/1,260.57
  6. Step 6: Final answer
    x = 1,257.92

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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.