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Finding the Fourth Proportional to 931.08, 1,396.89 and 759.37

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Solution

The fourth proportional to 931.08, 1,396.89 and 759.37 is: 1,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.08 : 1,396.89 = 759.37 : x
  2. Step 2: Convert to fraction form
    931.08/1,396.89 = 759.37/x
  3. Step 3: Cross multiply
    931.08x = 1,396.89 × 759.37
  4. Step 4: Simplify right side
    931.08x = 1,060,756.36
  5. Step 5: Solve for x
    x = 1,060,756.36/931.08
  6. Step 6: Final answer
    x = 1,139.28

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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.