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Finding the Fourth Proportional to 940.19, 1,296.68 and 704.69

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Solution

The fourth proportional to 940.19, 1,296.68 and 704.69 is: 971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.19 : 1,296.68 = 704.69 : x
  2. Step 2: Convert to fraction form
    940.19/1,296.68 = 704.69/x
  3. Step 3: Cross multiply
    940.19x = 1,296.68 × 704.69
  4. Step 4: Simplify right side
    940.19x = 913,757.15
  5. Step 5: Solve for x
    x = 913,757.15/940.19
  6. Step 6: Final answer
    x = 971.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.