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Finding the Fourth Proportional to 1,263.91, 1,745.26 and 891.31

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Solution

The fourth proportional to 1,263.91, 1,745.26 and 891.31 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.91 : 1,745.26 = 891.31 : x
  2. Step 2: Convert to fraction form
    1,263.91/1,745.26 = 891.31/x
  3. Step 3: Cross multiply
    1,263.91x = 1,745.26 × 891.31
  4. Step 4: Simplify right side
    1,263.91x = 1,555,563.23
  5. Step 5: Solve for x
    x = 1,555,563.23/1,263.91
  6. Step 6: Final answer
    x = 1,230.75

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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.