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Finding the Fourth Proportional to 919.62, 1,265.95 and 826.33

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Solution

The fourth proportional to 919.62, 1,265.95 and 826.33 is: 1,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.62 : 1,265.95 = 826.33 : x
  2. Step 2: Convert to fraction form
    919.62/1,265.95 = 826.33/x
  3. Step 3: Cross multiply
    919.62x = 1,265.95 × 826.33
  4. Step 4: Simplify right side
    919.62x = 1,046,099.48
  5. Step 5: Solve for x
    x = 1,046,099.48/919.62
  6. Step 6: Final answer
    x = 1,137.53

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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.