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Finding the Fourth Proportional to 1,267.63, 1,749.54 and 743.83

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Solution

The fourth proportional to 1,267.63, 1,749.54 and 743.83 is: 1,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.63 : 1,749.54 = 743.83 : x
  2. Step 2: Convert to fraction form
    1,267.63/1,749.54 = 743.83/x
  3. Step 3: Cross multiply
    1,267.63x = 1,749.54 × 743.83
  4. Step 4: Simplify right side
    1,267.63x = 1,301,360.34
  5. Step 5: Solve for x
    x = 1,301,360.34/1,267.63
  6. Step 6: Final answer
    x = 1,026.61

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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.