Home / 1,029.26-1,422.23-734.01

Finding the Fourth Proportional to 1,029.26, 1,422.23 and 734.01

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Solution

The fourth proportional to 1,029.26, 1,422.23 and 734.01 is: 1,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.26 : 1,422.23 = 734.01 : x
  2. Step 2: Convert to fraction form
    1,029.26/1,422.23 = 734.01/x
  3. Step 3: Cross multiply
    1,029.26x = 1,422.23 × 734.01
  4. Step 4: Simplify right side
    1,029.26x = 1,043,936.23
  5. Step 5: Solve for x
    x = 1,043,936.23/1,029.26
  6. Step 6: Final answer
    x = 1,014.26

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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.