Home / 1,258.24-1,735.82-733.96

Finding the Fourth Proportional to 1,258.24, 1,735.82 and 733.96

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Solution

The fourth proportional to 1,258.24, 1,735.82 and 733.96 is: 1,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.24 : 1,735.82 = 733.96 : x
  2. Step 2: Convert to fraction form
    1,258.24/1,735.82 = 733.96/x
  3. Step 3: Cross multiply
    1,258.24x = 1,735.82 × 733.96
  4. Step 4: Simplify right side
    1,258.24x = 1,274,022.45
  5. Step 5: Solve for x
    x = 1,274,022.45/1,258.24
  6. Step 6: Final answer
    x = 1,012.54

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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.