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Finding the Fourth Proportional to 1,027.40, 1,540.60 and 333.84

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Solution

The fourth proportional to 1,027.40, 1,540.60 and 333.84 is: 500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,540.60 = 333.84 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,540.60 = 333.84/x
  3. Step 3: Cross multiply
    1,027.40x = 1,540.60 × 333.84
  4. Step 4: Simplify right side
    1,027.40x = 514,313.90
  5. Step 5: Solve for x
    x = 514,313.90/1,027.40
  6. Step 6: Final answer
    x = 500.60

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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.