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Finding the Fourth Proportional to 1,331.60, 1,997.36 and 407.12

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Solution

The fourth proportional to 1,331.60, 1,997.36 and 407.12 is: 610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.60 : 1,997.36 = 407.12 : x
  2. Step 2: Convert to fraction form
    1,331.60/1,997.36 = 407.12/x
  3. Step 3: Cross multiply
    1,331.60x = 1,997.36 × 407.12
  4. Step 4: Simplify right side
    1,331.60x = 813,165.20
  5. Step 5: Solve for x
    x = 813,165.20/1,331.60
  6. Step 6: Final answer
    x = 610.67

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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.