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Finding the Fourth Proportional to 1,466.33, 2,199.60 and 426.34

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Solution

The fourth proportional to 1,466.33, 2,199.60 and 426.34 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.33 : 2,199.60 = 426.34 : x
  2. Step 2: Convert to fraction form
    1,466.33/2,199.60 = 426.34/x
  3. Step 3: Cross multiply
    1,466.33x = 2,199.60 × 426.34
  4. Step 4: Simplify right side
    1,466.33x = 937,775.33
  5. Step 5: Solve for x
    x = 937,775.33/1,466.33
  6. Step 6: Final answer
    x = 639.54

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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.