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Finding the Fourth Proportional to 1,267.57, 1,749.77 and 825.31

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Solution

The fourth proportional to 1,267.57, 1,749.77 and 825.31 is: 1,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.57 : 1,749.77 = 825.31 : x
  2. Step 2: Convert to fraction form
    1,267.57/1,749.77 = 825.31/x
  3. Step 3: Cross multiply
    1,267.57x = 1,749.77 × 825.31
  4. Step 4: Simplify right side
    1,267.57x = 1,444,102.68
  5. Step 5: Solve for x
    x = 1,444,102.68/1,267.57
  6. Step 6: Final answer
    x = 1,139.27

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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.