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Finding the Fourth Proportional to 998.67, 1,498.08 and 451.16

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Solution

The fourth proportional to 998.67, 1,498.08 and 451.16 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.67 : 1,498.08 = 451.16 : x
  2. Step 2: Convert to fraction form
    998.67/1,498.08 = 451.16/x
  3. Step 3: Cross multiply
    998.67x = 1,498.08 × 451.16
  4. Step 4: Simplify right side
    998.67x = 675,873.77
  5. Step 5: Solve for x
    x = 675,873.77/998.67
  6. Step 6: Final answer
    x = 676.77

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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.