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Finding the Fourth Proportional to 1,216.87, 1,825.56 and 486.41

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Solution

The fourth proportional to 1,216.87, 1,825.56 and 486.41 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.87 : 1,825.56 = 486.41 : x
  2. Step 2: Convert to fraction form
    1,216.87/1,825.56 = 486.41/x
  3. Step 3: Cross multiply
    1,216.87x = 1,825.56 × 486.41
  4. Step 4: Simplify right side
    1,216.87x = 887,961.51
  5. Step 5: Solve for x
    x = 887,961.51/1,216.87
  6. Step 6: Final answer
    x = 729.71

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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.