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Finding the Fourth Proportional to 1,257.50, 1,735.35 and 733.63

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Solution

The fourth proportional to 1,257.50, 1,735.35 and 733.63 is: 1,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.50 : 1,735.35 = 733.63 : x
  2. Step 2: Convert to fraction form
    1,257.50/1,735.35 = 733.63/x
  3. Step 3: Cross multiply
    1,257.50x = 1,735.35 × 733.63
  4. Step 4: Simplify right side
    1,257.50x = 1,273,104.82
  5. Step 5: Solve for x
    x = 1,273,104.82/1,257.50
  6. Step 6: Final answer
    x = 1,012.41

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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.