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Finding the Fourth Proportional to 1,098.92, 1,647.31 and 636.27

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Solution

The fourth proportional to 1,098.92, 1,647.31 and 636.27 is: 953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.92 : 1,647.31 = 636.27 : x
  2. Step 2: Convert to fraction form
    1,098.92/1,647.31 = 636.27/x
  3. Step 3: Cross multiply
    1,098.92x = 1,647.31 × 636.27
  4. Step 4: Simplify right side
    1,098.92x = 1,048,133.93
  5. Step 5: Solve for x
    x = 1,048,133.93/1,098.92
  6. Step 6: Final answer
    x = 953.79

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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.