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Finding the Fourth Proportional to 1,216.38, 1,824.89 and 486.47

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Solution

The fourth proportional to 1,216.38, 1,824.89 and 486.47 is: 729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.38 : 1,824.89 = 486.47 : x
  2. Step 2: Convert to fraction form
    1,216.38/1,824.89 = 486.47/x
  3. Step 3: Cross multiply
    1,216.38x = 1,824.89 × 486.47
  4. Step 4: Simplify right side
    1,216.38x = 887,745.11
  5. Step 5: Solve for x
    x = 887,745.11/1,216.38
  6. Step 6: Final answer
    x = 729.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.