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Finding the Fourth Proportional to 1,027.68, 1,542.60 and 378.60

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Solution

The fourth proportional to 1,027.68, 1,542.60 and 378.60 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.68 : 1,542.60 = 378.60 : x
  2. Step 2: Convert to fraction form
    1,027.68/1,542.60 = 378.60/x
  3. Step 3: Cross multiply
    1,027.68x = 1,542.60 × 378.60
  4. Step 4: Simplify right side
    1,027.68x = 584,028.36
  5. Step 5: Solve for x
    x = 584,028.36/1,027.68
  6. Step 6: Final answer
    x = 568.30

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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.