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Finding the Fourth Proportional to 1,498.07, 2,067.26 and 834.98

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Solution

The fourth proportional to 1,498.07, 2,067.26 and 834.98 is: 1,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.07 : 2,067.26 = 834.98 : x
  2. Step 2: Convert to fraction form
    1,498.07/2,067.26 = 834.98/x
  3. Step 3: Cross multiply
    1,498.07x = 2,067.26 × 834.98
  4. Step 4: Simplify right side
    1,498.07x = 1,726,120.75
  5. Step 5: Solve for x
    x = 1,726,120.75/1,498.07
  6. Step 6: Final answer
    x = 1,152.23

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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.