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Finding the Fourth Proportional to 865.26, 1,297.37 and 345.34

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Solution

The fourth proportional to 865.26, 1,297.37 and 345.34 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,297.37 = 345.34 : x
  2. Step 2: Convert to fraction form
    865.26/1,297.37 = 345.34/x
  3. Step 3: Cross multiply
    865.26x = 1,297.37 × 345.34
  4. Step 4: Simplify right side
    865.26x = 448,033.76
  5. Step 5: Solve for x
    x = 448,033.76/865.26
  6. Step 6: Final answer
    x = 517.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.