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Finding the Fourth Proportional to 1,257.17, 1,735.04 and 733.37

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Solution

The fourth proportional to 1,257.17, 1,735.04 and 733.37 is: 1,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.17 : 1,735.04 = 733.37 : x
  2. Step 2: Convert to fraction form
    1,257.17/1,735.04 = 733.37/x
  3. Step 3: Cross multiply
    1,257.17x = 1,735.04 × 733.37
  4. Step 4: Simplify right side
    1,257.17x = 1,272,419.44
  5. Step 5: Solve for x
    x = 1,272,419.44/1,257.17
  6. Step 6: Final answer
    x = 1,012.13

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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.