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Finding the Fourth Proportional to 865.10, 1,296.26 and 517.60

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Solution

The fourth proportional to 865.10, 1,296.26 and 517.60 is: 775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.10 : 1,296.26 = 517.60 : x
  2. Step 2: Convert to fraction form
    865.10/1,296.26 = 517.60/x
  3. Step 3: Cross multiply
    865.10x = 1,296.26 × 517.60
  4. Step 4: Simplify right side
    865.10x = 670,944.18
  5. Step 5: Solve for x
    x = 670,944.18/865.10
  6. Step 6: Final answer
    x = 775.57

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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.