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Finding the Fourth Proportional to 866.79, 1,195.44 and 646.27

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Solution

The fourth proportional to 866.79, 1,195.44 and 646.27 is: 891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.79 : 1,195.44 = 646.27 : x
  2. Step 2: Convert to fraction form
    866.79/1,195.44 = 646.27/x
  3. Step 3: Cross multiply
    866.79x = 1,195.44 × 646.27
  4. Step 4: Simplify right side
    866.79x = 772,571.60
  5. Step 5: Solve for x
    x = 772,571.60/866.79
  6. Step 6: Final answer
    x = 891.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.