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Finding the Fourth Proportional to 1,256.90, 1,736.68 and 1,212.56

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Solution

The fourth proportional to 1,256.90, 1,736.68 and 1,212.56 is: 1,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.90 : 1,736.68 = 1,212.56 : x
  2. Step 2: Convert to fraction form
    1,256.90/1,736.68 = 1,212.56/x
  3. Step 3: Cross multiply
    1,256.90x = 1,736.68 × 1,212.56
  4. Step 4: Simplify right side
    1,256.90x = 2,105,816.99
  5. Step 5: Solve for x
    x = 2,105,816.99/1,256.90
  6. Step 6: Final answer
    x = 1,675.40

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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.