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Finding the Fourth Proportional to 1,412.56, 2,116.92 and 680.68

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Solution

The fourth proportional to 1,412.56, 2,116.92 and 680.68 is: 1,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.56 : 2,116.92 = 680.68 : x
  2. Step 2: Convert to fraction form
    1,412.56/2,116.92 = 680.68/x
  3. Step 3: Cross multiply
    1,412.56x = 2,116.92 × 680.68
  4. Step 4: Simplify right side
    1,412.56x = 1,440,945.11
  5. Step 5: Solve for x
    x = 1,440,945.11/1,412.56
  6. Step 6: Final answer
    x = 1,020.09

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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.