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Finding the Fourth Proportional to 1,297.08, 1,942.57 and 636.90

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Solution

The fourth proportional to 1,297.08, 1,942.57 and 636.90 is: 953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.08 : 1,942.57 = 636.90 : x
  2. Step 2: Convert to fraction form
    1,297.08/1,942.57 = 636.90/x
  3. Step 3: Cross multiply
    1,297.08x = 1,942.57 × 636.90
  4. Step 4: Simplify right side
    1,297.08x = 1,237,218.14
  5. Step 5: Solve for x
    x = 1,237,218.14/1,297.08
  6. Step 6: Final answer
    x = 953.85

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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.