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Finding the Fourth Proportional to 1,267.64, 1,749.33 and 743.57

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Solution

The fourth proportional to 1,267.64, 1,749.33 and 743.57 is: 1,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.64 : 1,749.33 = 743.57 : x
  2. Step 2: Convert to fraction form
    1,267.64/1,749.33 = 743.57/x
  3. Step 3: Cross multiply
    1,267.64x = 1,749.33 × 743.57
  4. Step 4: Simplify right side
    1,267.64x = 1,300,749.31
  5. Step 5: Solve for x
    x = 1,300,749.31/1,267.64
  6. Step 6: Final answer
    x = 1,026.12

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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.