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Finding the Fourth Proportional to 1,131.98, 1,698.03 and 401.30

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Solution

The fourth proportional to 1,131.98, 1,698.03 and 401.30 is: 601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.98 : 1,698.03 = 401.30 : x
  2. Step 2: Convert to fraction form
    1,131.98/1,698.03 = 401.30/x
  3. Step 3: Cross multiply
    1,131.98x = 1,698.03 × 401.30
  4. Step 4: Simplify right side
    1,131.98x = 681,419.44
  5. Step 5: Solve for x
    x = 681,419.44/1,131.98
  6. Step 6: Final answer
    x = 601.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.