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Finding the Fourth Proportional to 1,439.96, 1,987.00 and 850.41

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Solution

The fourth proportional to 1,439.96, 1,987.00 and 850.41 is: 1,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.96 : 1,987.00 = 850.41 : x
  2. Step 2: Convert to fraction form
    1,439.96/1,987.00 = 850.41/x
  3. Step 3: Cross multiply
    1,439.96x = 1,987.00 × 850.41
  4. Step 4: Simplify right side
    1,439.96x = 1,689,762.54
  5. Step 5: Solve for x
    x = 1,689,762.54/1,439.96
  6. Step 6: Final answer
    x = 1,173.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.