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Finding the Fourth Proportional to 1,314.92, 1,971.90 and 449

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Solution

The fourth proportional to 1,314.92, 1,971.90 and 449 is: 673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.92 : 1,971.90 = 449 : x
  2. Step 2: Convert to fraction form
    1,314.92/1,971.90 = 449/x
  3. Step 3: Cross multiply
    1,314.92x = 1,971.90 × 449
  4. Step 4: Simplify right side
    1,314.92x = 885,383.10
  5. Step 5: Solve for x
    x = 885,383.10/1,314.92
  6. Step 6: Final answer
    x = 673.34

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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.