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Finding the Fourth Proportional to 1,211.36, 1,816.41 and 561.38

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Solution

The fourth proportional to 1,211.36, 1,816.41 and 561.38 is: 841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.36 : 1,816.41 = 561.38 : x
  2. Step 2: Convert to fraction form
    1,211.36/1,816.41 = 561.38/x
  3. Step 3: Cross multiply
    1,211.36x = 1,816.41 × 561.38
  4. Step 4: Simplify right side
    1,211.36x = 1,019,696.25
  5. Step 5: Solve for x
    x = 1,019,696.25/1,211.36
  6. Step 6: Final answer
    x = 841.78

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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.