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Finding the Fourth Proportional to 1,383.14, 2,074.89 and 458.48

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Solution

The fourth proportional to 1,383.14, 2,074.89 and 458.48 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.14 : 2,074.89 = 458.48 : x
  2. Step 2: Convert to fraction form
    1,383.14/2,074.89 = 458.48/x
  3. Step 3: Cross multiply
    1,383.14x = 2,074.89 × 458.48
  4. Step 4: Simplify right side
    1,383.14x = 951,295.57
  5. Step 5: Solve for x
    x = 951,295.57/1,383.14
  6. Step 6: Final answer
    x = 687.78

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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.