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Finding the Fourth Proportional to 1,027.32, 1,541 and 257.84

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Solution

The fourth proportional to 1,027.32, 1,541 and 257.84 is: 386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.32 : 1,541 = 257.84 : x
  2. Step 2: Convert to fraction form
    1,027.32/1,541 = 257.84/x
  3. Step 3: Cross multiply
    1,027.32x = 1,541 × 257.84
  4. Step 4: Simplify right side
    1,027.32x = 397,331.44
  5. Step 5: Solve for x
    x = 397,331.44/1,027.32
  6. Step 6: Final answer
    x = 386.77

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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.