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Finding the Fourth Proportional to 1,466.69, 2,199.83 and 370.99

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Solution

The fourth proportional to 1,466.69, 2,199.83 and 370.99 is: 556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.69 : 2,199.83 = 370.99 : x
  2. Step 2: Convert to fraction form
    1,466.69/2,199.83 = 370.99/x
  3. Step 3: Cross multiply
    1,466.69x = 2,199.83 × 370.99
  4. Step 4: Simplify right side
    1,466.69x = 816,103.45
  5. Step 5: Solve for x
    x = 816,103.45/1,466.69
  6. Step 6: Final answer
    x = 556.43

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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.