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Finding the Fourth Proportional to 1,216.88, 1,824.18 and 486.26

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Solution

The fourth proportional to 1,216.88, 1,824.18 and 486.26 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.88 : 1,824.18 = 486.26 : x
  2. Step 2: Convert to fraction form
    1,216.88/1,824.18 = 486.26/x
  3. Step 3: Cross multiply
    1,216.88x = 1,824.18 × 486.26
  4. Step 4: Simplify right side
    1,216.88x = 887,025.77
  5. Step 5: Solve for x
    x = 887,025.77/1,216.88
  6. Step 6: Final answer
    x = 728.93

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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.