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Finding the Fourth Proportional to 1,216.09, 1,824.41 and 486.42

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Solution

The fourth proportional to 1,216.09, 1,824.41 and 486.42 is: 729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.09 : 1,824.41 = 486.42 : x
  2. Step 2: Convert to fraction form
    1,216.09/1,824.41 = 486.42/x
  3. Step 3: Cross multiply
    1,216.09x = 1,824.41 × 486.42
  4. Step 4: Simplify right side
    1,216.09x = 887,429.51
  5. Step 5: Solve for x
    x = 887,429.51/1,216.09
  6. Step 6: Final answer
    x = 729.74

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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.