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Finding the Fourth Proportional to 1,267.89, 1,749.51 and 743.82

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Solution

The fourth proportional to 1,267.89, 1,749.51 and 743.82 is: 1,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.89 : 1,749.51 = 743.82 : x
  2. Step 2: Convert to fraction form
    1,267.89/1,749.51 = 743.82/x
  3. Step 3: Cross multiply
    1,267.89x = 1,749.51 × 743.82
  4. Step 4: Simplify right side
    1,267.89x = 1,301,320.53
  5. Step 5: Solve for x
    x = 1,301,320.53/1,267.89
  6. Step 6: Final answer
    x = 1,026.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.