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Finding the Fourth Proportional to 913.67, 1,261.60 and 867.80

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Solution

The fourth proportional to 913.67, 1,261.60 and 867.80 is: 1,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.67 : 1,261.60 = 867.80 : x
  2. Step 2: Convert to fraction form
    913.67/1,261.60 = 867.80/x
  3. Step 3: Cross multiply
    913.67x = 1,261.60 × 867.80
  4. Step 4: Simplify right side
    913.67x = 1,094,816.48
  5. Step 5: Solve for x
    x = 1,094,816.48/913.67
  6. Step 6: Final answer
    x = 1,198.26

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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.