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Finding the Fourth Proportional to 1,216.30, 1,823.22 and 484.87

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Solution

The fourth proportional to 1,216.30, 1,823.22 and 484.87 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.30 : 1,823.22 = 484.87 : x
  2. Step 2: Convert to fraction form
    1,216.30/1,823.22 = 484.87/x
  3. Step 3: Cross multiply
    1,216.30x = 1,823.22 × 484.87
  4. Step 4: Simplify right side
    1,216.30x = 884,024.68
  5. Step 5: Solve for x
    x = 884,024.68/1,216.30
  6. Step 6: Final answer
    x = 726.81

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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.