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Finding the Fourth Proportional to 1,388.32, 2,077.24 and 831

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Solution

The fourth proportional to 1,388.32, 2,077.24 and 831 is: 1,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.32 : 2,077.24 = 831 : x
  2. Step 2: Convert to fraction form
    1,388.32/2,077.24 = 831/x
  3. Step 3: Cross multiply
    1,388.32x = 2,077.24 × 831
  4. Step 4: Simplify right side
    1,388.32x = 1,726,186.44
  5. Step 5: Solve for x
    x = 1,726,186.44/1,388.32
  6. Step 6: Final answer
    x = 1,243.36

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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.