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Finding the Fourth Proportional to 866.56, 1,299.04 and 455.68

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Solution

The fourth proportional to 866.56, 1,299.04 and 455.68 is: 683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.56 : 1,299.04 = 455.68 : x
  2. Step 2: Convert to fraction form
    866.56/1,299.04 = 455.68/x
  3. Step 3: Cross multiply
    866.56x = 1,299.04 × 455.68
  4. Step 4: Simplify right side
    866.56x = 591,946.55
  5. Step 5: Solve for x
    x = 591,946.55/866.56
  6. Step 6: Final answer
    x = 683.10

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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.