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Finding the Fourth Proportional to 866.92, 1,299.60 and 455.80

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Solution

The fourth proportional to 866.92, 1,299.60 and 455.80 is: 683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.92 : 1,299.60 = 455.80 : x
  2. Step 2: Convert to fraction form
    866.92/1,299.60 = 455.80/x
  3. Step 3: Cross multiply
    866.92x = 1,299.60 × 455.80
  4. Step 4: Simplify right side
    866.92x = 592,357.68
  5. Step 5: Solve for x
    x = 592,357.68/866.92
  6. Step 6: Final answer
    x = 683.29

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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.