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Finding the Fourth Proportional to 1,367.25, 1,886.82 and 746.25

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Solution

The fourth proportional to 1,367.25, 1,886.82 and 746.25 is: 1,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.25 : 1,886.82 = 746.25 : x
  2. Step 2: Convert to fraction form
    1,367.25/1,886.82 = 746.25/x
  3. Step 3: Cross multiply
    1,367.25x = 1,886.82 × 746.25
  4. Step 4: Simplify right side
    1,367.25x = 1,408,039.43
  5. Step 5: Solve for x
    x = 1,408,039.43/1,367.25
  6. Step 6: Final answer
    x = 1,029.83

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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.