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Finding the Fourth Proportional to 865.37, 1,297.73 and 454.46

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Solution

The fourth proportional to 865.37, 1,297.73 and 454.46 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.37 : 1,297.73 = 454.46 : x
  2. Step 2: Convert to fraction form
    865.37/1,297.73 = 454.46/x
  3. Step 3: Cross multiply
    865.37x = 1,297.73 × 454.46
  4. Step 4: Simplify right side
    865.37x = 589,770.76
  5. Step 5: Solve for x
    x = 589,770.76/865.37
  6. Step 6: Final answer
    x = 681.53

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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.