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Finding the Fourth Proportional to 998.35, 1,495.20 and 963.75

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Solution

The fourth proportional to 998.35, 1,495.20 and 963.75 is: 1,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.35 : 1,495.20 = 963.75 : x
  2. Step 2: Convert to fraction form
    998.35/1,495.20 = 963.75/x
  3. Step 3: Cross multiply
    998.35x = 1,495.20 × 963.75
  4. Step 4: Simplify right side
    998.35x = 1,440,999
  5. Step 5: Solve for x
    x = 1,440,999/998.35
  6. Step 6: Final answer
    x = 1,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.