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Finding the Fourth Proportional to 1,257.78, 1,735.50 and 733.68

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Solution

The fourth proportional to 1,257.78, 1,735.50 and 733.68 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.78 : 1,735.50 = 733.68 : x
  2. Step 2: Convert to fraction form
    1,257.78/1,735.50 = 733.68/x
  3. Step 3: Cross multiply
    1,257.78x = 1,735.50 × 733.68
  4. Step 4: Simplify right side
    1,257.78x = 1,273,301.64
  5. Step 5: Solve for x
    x = 1,273,301.64/1,257.78
  6. Step 6: Final answer
    x = 1,012.34

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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.