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Finding the Fourth Proportional to 1,211.45, 1,815.57 and 553.41

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Solution

The fourth proportional to 1,211.45, 1,815.57 and 553.41 is: 829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.45 : 1,815.57 = 553.41 : x
  2. Step 2: Convert to fraction form
    1,211.45/1,815.57 = 553.41/x
  3. Step 3: Cross multiply
    1,211.45x = 1,815.57 × 553.41
  4. Step 4: Simplify right side
    1,211.45x = 1,004,754.59
  5. Step 5: Solve for x
    x = 1,004,754.59/1,211.45
  6. Step 6: Final answer
    x = 829.39

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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.