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Finding the Fourth Proportional to 1,027.14, 1,540.12 and 940.06

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Solution

The fourth proportional to 1,027.14, 1,540.12 and 940.06 is: 1,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.14 : 1,540.12 = 940.06 : x
  2. Step 2: Convert to fraction form
    1,027.14/1,540.12 = 940.06/x
  3. Step 3: Cross multiply
    1,027.14x = 1,540.12 × 940.06
  4. Step 4: Simplify right side
    1,027.14x = 1,447,805.21
  5. Step 5: Solve for x
    x = 1,447,805.21/1,027.14
  6. Step 6: Final answer
    x = 1,409.55

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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.