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Finding the Fourth Proportional to 1,322.25, 1,984.67 and 836.49

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Solution

The fourth proportional to 1,322.25, 1,984.67 and 836.49 is: 1,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.25 : 1,984.67 = 836.49 : x
  2. Step 2: Convert to fraction form
    1,322.25/1,984.67 = 836.49/x
  3. Step 3: Cross multiply
    1,322.25x = 1,984.67 × 836.49
  4. Step 4: Simplify right side
    1,322.25x = 1,660,152.43
  5. Step 5: Solve for x
    x = 1,660,152.43/1,322.25
  6. Step 6: Final answer
    x = 1,255.55

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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.