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Finding the Fourth Proportional to 998.67, 1,379.12 and 944.13

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Solution

The fourth proportional to 998.67, 1,379.12 and 944.13 is: 1,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.67 : 1,379.12 = 944.13 : x
  2. Step 2: Convert to fraction form
    998.67/1,379.12 = 944.13/x
  3. Step 3: Cross multiply
    998.67x = 1,379.12 × 944.13
  4. Step 4: Simplify right side
    998.67x = 1,302,063.84
  5. Step 5: Solve for x
    x = 1,302,063.84/998.67
  6. Step 6: Final answer
    x = 1,303.80

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Why These Related Problems?

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