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Finding the Fourth Proportional to 1,228.32, 1,842.75 and 680.22

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Solution

The fourth proportional to 1,228.32, 1,842.75 and 680.22 is: 1,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.32 : 1,842.75 = 680.22 : x
  2. Step 2: Convert to fraction form
    1,228.32/1,842.75 = 680.22/x
  3. Step 3: Cross multiply
    1,228.32x = 1,842.75 × 680.22
  4. Step 4: Simplify right side
    1,228.32x = 1,253,475.41
  5. Step 5: Solve for x
    x = 1,253,475.41/1,228.32
  6. Step 6: Final answer
    x = 1,020.48

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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.