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Finding the Fourth Proportional to 1,466.38, 2,199.72 and 370.75

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Solution

The fourth proportional to 1,466.38, 2,199.72 and 370.75 is: 556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.38 : 2,199.72 = 370.75 : x
  2. Step 2: Convert to fraction form
    1,466.38/2,199.72 = 370.75/x
  3. Step 3: Cross multiply
    1,466.38x = 2,199.72 × 370.75
  4. Step 4: Simplify right side
    1,466.38x = 815,546.19
  5. Step 5: Solve for x
    x = 815,546.19/1,466.38
  6. Step 6: Final answer
    x = 556.16

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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.