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Finding the Fourth Proportional to 866.88, 1,297.92 and 609.60

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Solution

The fourth proportional to 866.88, 1,297.92 and 609.60 is: 912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.88 : 1,297.92 = 609.60 : x
  2. Step 2: Convert to fraction form
    866.88/1,297.92 = 609.60/x
  3. Step 3: Cross multiply
    866.88x = 1,297.92 × 609.60
  4. Step 4: Simplify right side
    866.88x = 791,212.03
  5. Step 5: Solve for x
    x = 791,212.03/866.88
  6. Step 6: Final answer
    x = 912.71

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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.