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Finding the Fourth Proportional to 1,264.05, 1,743.78 and 739.75

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Solution

The fourth proportional to 1,264.05, 1,743.78 and 739.75 is: 1,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.05 : 1,743.78 = 739.75 : x
  2. Step 2: Convert to fraction form
    1,264.05/1,743.78 = 739.75/x
  3. Step 3: Cross multiply
    1,264.05x = 1,743.78 × 739.75
  4. Step 4: Simplify right side
    1,264.05x = 1,289,961.26
  5. Step 5: Solve for x
    x = 1,289,961.26/1,264.05
  6. Step 6: Final answer
    x = 1,020.50

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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.