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Finding the Fourth Proportional to 987.89, 1,481.82 and 257.51

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Solution

The fourth proportional to 987.89, 1,481.82 and 257.51 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.89 : 1,481.82 = 257.51 : x
  2. Step 2: Convert to fraction form
    987.89/1,481.82 = 257.51/x
  3. Step 3: Cross multiply
    987.89x = 1,481.82 × 257.51
  4. Step 4: Simplify right side
    987.89x = 381,576.06
  5. Step 5: Solve for x
    x = 381,576.06/987.89
  6. Step 6: Final answer
    x = 386.26

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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.