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Finding the Fourth Proportional to 865.18, 1,296.97 and 454.60

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Solution

The fourth proportional to 865.18, 1,296.97 and 454.60 is: 681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,296.97 = 454.60 : x
  2. Step 2: Convert to fraction form
    865.18/1,296.97 = 454.60/x
  3. Step 3: Cross multiply
    865.18x = 1,296.97 × 454.60
  4. Step 4: Simplify right side
    865.18x = 589,602.56
  5. Step 5: Solve for x
    x = 589,602.56/865.18
  6. Step 6: Final answer
    x = 681.48

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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.