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Finding the Fourth Proportional to 1,436.56, 1,984.61 and 940.39

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Solution

The fourth proportional to 1,436.56, 1,984.61 and 940.39 is: 1,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.56 : 1,984.61 = 940.39 : x
  2. Step 2: Convert to fraction form
    1,436.56/1,984.61 = 940.39/x
  3. Step 3: Cross multiply
    1,436.56x = 1,984.61 × 940.39
  4. Step 4: Simplify right side
    1,436.56x = 1,866,304.79
  5. Step 5: Solve for x
    x = 1,866,304.79/1,436.56
  6. Step 6: Final answer
    x = 1,299.15

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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.