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Finding the Fourth Proportional to 1,217.40, 1,825.20 and 486.60

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Solution

The fourth proportional to 1,217.40, 1,825.20 and 486.60 is: 729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.40 : 1,825.20 = 486.60 : x
  2. Step 2: Convert to fraction form
    1,217.40/1,825.20 = 486.60/x
  3. Step 3: Cross multiply
    1,217.40x = 1,825.20 × 486.60
  4. Step 4: Simplify right side
    1,217.40x = 888,142.32
  5. Step 5: Solve for x
    x = 888,142.32/1,217.40
  6. Step 6: Final answer
    x = 729.54

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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.