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Finding the Fourth Proportional to 866.54, 1,297.38 and 454.76

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Solution

The fourth proportional to 866.54, 1,297.38 and 454.76 is: 680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.54 : 1,297.38 = 454.76 : x
  2. Step 2: Convert to fraction form
    866.54/1,297.38 = 454.76/x
  3. Step 3: Cross multiply
    866.54x = 1,297.38 × 454.76
  4. Step 4: Simplify right side
    866.54x = 589,996.53
  5. Step 5: Solve for x
    x = 589,996.53/866.54
  6. Step 6: Final answer
    x = 680.86

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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.