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Finding the Fourth Proportional to 1,216.37, 1,824.44 and 436.34

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Solution

The fourth proportional to 1,216.37, 1,824.44 and 436.34 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.37 : 1,824.44 = 436.34 : x
  2. Step 2: Convert to fraction form
    1,216.37/1,824.44 = 436.34/x
  3. Step 3: Cross multiply
    1,216.37x = 1,824.44 × 436.34
  4. Step 4: Simplify right side
    1,216.37x = 796,076.15
  5. Step 5: Solve for x
    x = 796,076.15/1,216.37
  6. Step 6: Final answer
    x = 654.47

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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.