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Finding the Fourth Proportional to 1,027.48, 1,540.14 and 442.30

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Solution

The fourth proportional to 1,027.48, 1,540.14 and 442.30 is: 662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.48 : 1,540.14 = 442.30 : x
  2. Step 2: Convert to fraction form
    1,027.48/1,540.14 = 442.30/x
  3. Step 3: Cross multiply
    1,027.48x = 1,540.14 × 442.30
  4. Step 4: Simplify right side
    1,027.48x = 681,203.92
  5. Step 5: Solve for x
    x = 681,203.92/1,027.48
  6. Step 6: Final answer
    x = 662.99

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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.