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Finding the Fourth Proportional to 1,257.26, 1,735.02 and 697.73

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Solution

The fourth proportional to 1,257.26, 1,735.02 and 697.73 is: 962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.26 : 1,735.02 = 697.73 : x
  2. Step 2: Convert to fraction form
    1,257.26/1,735.02 = 697.73/x
  3. Step 3: Cross multiply
    1,257.26x = 1,735.02 × 697.73
  4. Step 4: Simplify right side
    1,257.26x = 1,210,566.83
  5. Step 5: Solve for x
    x = 1,210,566.83/1,257.26
  6. Step 6: Final answer
    x = 962.86

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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.