Home / 1,119.24-1,544.30-746.43

Finding the Fourth Proportional to 1,119.24, 1,544.30 and 746.43

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Solution

The fourth proportional to 1,119.24, 1,544.30 and 746.43 is: 1,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.24 : 1,544.30 = 746.43 : x
  2. Step 2: Convert to fraction form
    1,119.24/1,544.30 = 746.43/x
  3. Step 3: Cross multiply
    1,119.24x = 1,544.30 × 746.43
  4. Step 4: Simplify right side
    1,119.24x = 1,152,708.12
  5. Step 5: Solve for x
    x = 1,152,708.12/1,119.24
  6. Step 6: Final answer
    x = 1,029.90

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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.