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Finding the Fourth Proportional to 1,279.36, 1,920.54 and 664.24

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Solution

The fourth proportional to 1,279.36, 1,920.54 and 664.24 is: 997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.36 : 1,920.54 = 664.24 : x
  2. Step 2: Convert to fraction form
    1,279.36/1,920.54 = 664.24/x
  3. Step 3: Cross multiply
    1,279.36x = 1,920.54 × 664.24
  4. Step 4: Simplify right side
    1,279.36x = 1,275,699.49
  5. Step 5: Solve for x
    x = 1,275,699.49/1,279.36
  6. Step 6: Final answer
    x = 997.14

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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.