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Finding the Fourth Proportional to 1,351.54, 2,027.42 and 529.88

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Solution

The fourth proportional to 1,351.54, 2,027.42 and 529.88 is: 794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.54 : 2,027.42 = 529.88 : x
  2. Step 2: Convert to fraction form
    1,351.54/2,027.42 = 529.88/x
  3. Step 3: Cross multiply
    1,351.54x = 2,027.42 × 529.88
  4. Step 4: Simplify right side
    1,351.54x = 1,074,289.31
  5. Step 5: Solve for x
    x = 1,074,289.31/1,351.54
  6. Step 6: Final answer
    x = 794.86

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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.