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Finding the Fourth Proportional to 1,256.32, 1,736.04 and 996.40

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Solution

The fourth proportional to 1,256.32, 1,736.04 and 996.40 is: 1,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.32 : 1,736.04 = 996.40 : x
  2. Step 2: Convert to fraction form
    1,256.32/1,736.04 = 996.40/x
  3. Step 3: Cross multiply
    1,256.32x = 1,736.04 × 996.40
  4. Step 4: Simplify right side
    1,256.32x = 1,729,790.26
  5. Step 5: Solve for x
    x = 1,729,790.26/1,256.32
  6. Step 6: Final answer
    x = 1,376.87

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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.