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Finding the Fourth Proportional to 1,466.25, 2,199.74 and 440.25

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Solution

The fourth proportional to 1,466.25, 2,199.74 and 440.25 is: 660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.25 : 2,199.74 = 440.25 : x
  2. Step 2: Convert to fraction form
    1,466.25/2,199.74 = 440.25/x
  3. Step 3: Cross multiply
    1,466.25x = 2,199.74 × 440.25
  4. Step 4: Simplify right side
    1,466.25x = 968,433.33
  5. Step 5: Solve for x
    x = 968,433.33/1,466.25
  6. Step 6: Final answer
    x = 660.48

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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.