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Finding the Fourth Proportional to 1,257.45, 1,735.53 and 760.26

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Solution

The fourth proportional to 1,257.45, 1,735.53 and 760.26 is: 1,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.45 : 1,735.53 = 760.26 : x
  2. Step 2: Convert to fraction form
    1,257.45/1,735.53 = 760.26/x
  3. Step 3: Cross multiply
    1,257.45x = 1,735.53 × 760.26
  4. Step 4: Simplify right side
    1,257.45x = 1,319,454.04
  5. Step 5: Solve for x
    x = 1,319,454.04/1,257.45
  6. Step 6: Final answer
    x = 1,049.31

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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.