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Finding the Fourth Proportional to 866.55, 1,299.56 and 455.46

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Solution

The fourth proportional to 866.55, 1,299.56 and 455.46 is: 683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.55 : 1,299.56 = 455.46 : x
  2. Step 2: Convert to fraction form
    866.55/1,299.56 = 455.46/x
  3. Step 3: Cross multiply
    866.55x = 1,299.56 × 455.46
  4. Step 4: Simplify right side
    866.55x = 591,903.61
  5. Step 5: Solve for x
    x = 591,903.61/866.55
  6. Step 6: Final answer
    x = 683.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.