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Finding the Fourth Proportional to 1,260.34, 1,738.44 and 762.46

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Solution

The fourth proportional to 1,260.34, 1,738.44 and 762.46 is: 1,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.34 : 1,738.44 = 762.46 : x
  2. Step 2: Convert to fraction form
    1,260.34/1,738.44 = 762.46/x
  3. Step 3: Cross multiply
    1,260.34x = 1,738.44 × 762.46
  4. Step 4: Simplify right side
    1,260.34x = 1,325,490.96
  5. Step 5: Solve for x
    x = 1,325,490.96/1,260.34
  6. Step 6: Final answer
    x = 1,051.69

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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.