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Finding the Fourth Proportional to 1,131.82, 1,697.66 and 401.41

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Solution

The fourth proportional to 1,131.82, 1,697.66 and 401.41 is: 602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.82 : 1,697.66 = 401.41 : x
  2. Step 2: Convert to fraction form
    1,131.82/1,697.66 = 401.41/x
  3. Step 3: Cross multiply
    1,131.82x = 1,697.66 × 401.41
  4. Step 4: Simplify right side
    1,131.82x = 681,449.77
  5. Step 5: Solve for x
    x = 681,449.77/1,131.82
  6. Step 6: Final answer
    x = 602.08

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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.