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Finding the Fourth Proportional to 1,255.23, 1,884.60 and 639.43

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Solution

The fourth proportional to 1,255.23, 1,884.60 and 639.43 is: 960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.23 : 1,884.60 = 639.43 : x
  2. Step 2: Convert to fraction form
    1,255.23/1,884.60 = 639.43/x
  3. Step 3: Cross multiply
    1,255.23x = 1,884.60 × 639.43
  4. Step 4: Simplify right side
    1,255.23x = 1,205,065.07
  5. Step 5: Solve for x
    x = 1,205,065.07/1,255.23
  6. Step 6: Final answer
    x = 960.04

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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.