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Finding the Fourth Proportional to 1,180.86, 1,768.19 and 832.31

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Solution

The fourth proportional to 1,180.86, 1,768.19 and 832.31 is: 1,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.86 : 1,768.19 = 832.31 : x
  2. Step 2: Convert to fraction form
    1,180.86/1,768.19 = 832.31/x
  3. Step 3: Cross multiply
    1,180.86x = 1,768.19 × 832.31
  4. Step 4: Simplify right side
    1,180.86x = 1,471,669.22
  5. Step 5: Solve for x
    x = 1,471,669.22/1,180.86
  6. Step 6: Final answer
    x = 1,246.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.