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Finding the Fourth Proportional to 998.36, 1,495.37 and 823.06

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Solution

The fourth proportional to 998.36, 1,495.37 and 823.06 is: 1,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.36 : 1,495.37 = 823.06 : x
  2. Step 2: Convert to fraction form
    998.36/1,495.37 = 823.06/x
  3. Step 3: Cross multiply
    998.36x = 1,495.37 × 823.06
  4. Step 4: Simplify right side
    998.36x = 1,230,780.17
  5. Step 5: Solve for x
    x = 1,230,780.17/998.36
  6. Step 6: Final answer
    x = 1,232.80

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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.