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Finding the Fourth Proportional to 1,216.25, 1,824.84 and 486.03

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Solution

The fourth proportional to 1,216.25, 1,824.84 and 486.03 is: 729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.25 : 1,824.84 = 486.03 : x
  2. Step 2: Convert to fraction form
    1,216.25/1,824.84 = 486.03/x
  3. Step 3: Cross multiply
    1,216.25x = 1,824.84 × 486.03
  4. Step 4: Simplify right side
    1,216.25x = 886,926.99
  5. Step 5: Solve for x
    x = 886,926.99/1,216.25
  6. Step 6: Final answer
    x = 729.23

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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.