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Finding the Fourth Proportional to 998.40, 1,376.50 and 735.96

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Solution

The fourth proportional to 998.40, 1,376.50 and 735.96 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.40 : 1,376.50 = 735.96 : x
  2. Step 2: Convert to fraction form
    998.40/1,376.50 = 735.96/x
  3. Step 3: Cross multiply
    998.40x = 1,376.50 × 735.96
  4. Step 4: Simplify right side
    998.40x = 1,013,048.94
  5. Step 5: Solve for x
    x = 1,013,048.94/998.40
  6. Step 6: Final answer
    x = 1,014.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.