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Finding the Fourth Proportional to 1,216.39, 1,824.31 and 485.77

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Solution

The fourth proportional to 1,216.39, 1,824.31 and 485.77 is: 728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.39 : 1,824.31 = 485.77 : x
  2. Step 2: Convert to fraction form
    1,216.39/1,824.31 = 485.77/x
  3. Step 3: Cross multiply
    1,216.39x = 1,824.31 × 485.77
  4. Step 4: Simplify right side
    1,216.39x = 886,195.07
  5. Step 5: Solve for x
    x = 886,195.07/1,216.39
  6. Step 6: Final answer
    x = 728.55

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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.