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Finding the Fourth Proportional to 1,412.79, 2,119.61 and 682.39

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Solution

The fourth proportional to 1,412.79, 2,119.61 and 682.39 is: 1,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.79 : 2,119.61 = 682.39 : x
  2. Step 2: Convert to fraction form
    1,412.79/2,119.61 = 682.39/x
  3. Step 3: Cross multiply
    1,412.79x = 2,119.61 × 682.39
  4. Step 4: Simplify right side
    1,412.79x = 1,446,400.67
  5. Step 5: Solve for x
    x = 1,446,400.67/1,412.79
  6. Step 6: Final answer
    x = 1,023.79

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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.