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Finding the Fourth Proportional to 1,412.56, 2,118.85 and 681.63

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Solution

The fourth proportional to 1,412.56, 2,118.85 and 681.63 is: 1,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.56 : 2,118.85 = 681.63 : x
  2. Step 2: Convert to fraction form
    1,412.56/2,118.85 = 681.63/x
  3. Step 3: Cross multiply
    1,412.56x = 2,118.85 × 681.63
  4. Step 4: Simplify right side
    1,412.56x = 1,444,262.08
  5. Step 5: Solve for x
    x = 1,444,262.08/1,412.56
  6. Step 6: Final answer
    x = 1,022.44

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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.