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Finding the Fourth Proportional to 1,211.06, 1,816.61 and 389.33

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Solution

The fourth proportional to 1,211.06, 1,816.61 and 389.33 is: 584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.06 : 1,816.61 = 389.33 : x
  2. Step 2: Convert to fraction form
    1,211.06/1,816.61 = 389.33/x
  3. Step 3: Cross multiply
    1,211.06x = 1,816.61 × 389.33
  4. Step 4: Simplify right side
    1,211.06x = 707,267.87
  5. Step 5: Solve for x
    x = 707,267.87/1,211.06
  6. Step 6: Final answer
    x = 584.01

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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.