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Finding the Fourth Proportional to 1,395.72, 2,094.69 and 779.31

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Solution

The fourth proportional to 1,395.72, 2,094.69 and 779.31 is: 1,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.72 : 2,094.69 = 779.31 : x
  2. Step 2: Convert to fraction form
    1,395.72/2,094.69 = 779.31/x
  3. Step 3: Cross multiply
    1,395.72x = 2,094.69 × 779.31
  4. Step 4: Simplify right side
    1,395.72x = 1,632,412.86
  5. Step 5: Solve for x
    x = 1,632,412.86/1,395.72
  6. Step 6: Final answer
    x = 1,169.58

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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.