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Finding the Fourth Proportional to 913.23, 1,257.09 and 796.59

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Solution

The fourth proportional to 913.23, 1,257.09 and 796.59 is: 1,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.23 : 1,257.09 = 796.59 : x
  2. Step 2: Convert to fraction form
    913.23/1,257.09 = 796.59/x
  3. Step 3: Cross multiply
    913.23x = 1,257.09 × 796.59
  4. Step 4: Simplify right side
    913.23x = 1,001,385.32
  5. Step 5: Solve for x
    x = 1,001,385.32/913.23
  6. Step 6: Final answer
    x = 1,096.53

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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.