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Finding the Fourth Proportional to 940.21, 1,285.98 and 925.09

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Solution

The fourth proportional to 940.21, 1,285.98 and 925.09 is: 1,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.21 : 1,285.98 = 925.09 : x
  2. Step 2: Convert to fraction form
    940.21/1,285.98 = 925.09/x
  3. Step 3: Cross multiply
    940.21x = 1,285.98 × 925.09
  4. Step 4: Simplify right side
    940.21x = 1,189,647.24
  5. Step 5: Solve for x
    x = 1,189,647.24/940.21
  6. Step 6: Final answer
    x = 1,265.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.