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Finding the Fourth Proportional to 1,131.12, 1,696.86 and 401.22

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Solution

The fourth proportional to 1,131.12, 1,696.86 and 401.22 is: 601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.12 : 1,696.86 = 401.22 : x
  2. Step 2: Convert to fraction form
    1,131.12/1,696.86 = 401.22/x
  3. Step 3: Cross multiply
    1,131.12x = 1,696.86 × 401.22
  4. Step 4: Simplify right side
    1,131.12x = 680,814.17
  5. Step 5: Solve for x
    x = 680,814.17/1,131.12
  6. Step 6: Final answer
    x = 601.89

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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.