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Finding the Fourth Proportional to 1,279.26, 1,764.86 and 740.54

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Solution

The fourth proportional to 1,279.26, 1,764.86 and 740.54 is: 1,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.26 : 1,764.86 = 740.54 : x
  2. Step 2: Convert to fraction form
    1,279.26/1,764.86 = 740.54/x
  3. Step 3: Cross multiply
    1,279.26x = 1,764.86 × 740.54
  4. Step 4: Simplify right side
    1,279.26x = 1,306,936.90
  5. Step 5: Solve for x
    x = 1,306,936.90/1,279.26
  6. Step 6: Final answer
    x = 1,021.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.