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Finding the Fourth Proportional to 1,258.89, 1,888.46 and 518.33

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Solution

The fourth proportional to 1,258.89, 1,888.46 and 518.33 is: 777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.89 : 1,888.46 = 518.33 : x
  2. Step 2: Convert to fraction form
    1,258.89/1,888.46 = 518.33/x
  3. Step 3: Cross multiply
    1,258.89x = 1,888.46 × 518.33
  4. Step 4: Simplify right side
    1,258.89x = 978,833.44
  5. Step 5: Solve for x
    x = 978,833.44/1,258.89
  6. Step 6: Final answer
    x = 777.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.