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Finding the Fourth Proportional to 843.53, 1,265.94 and 550.95

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Solution

The fourth proportional to 843.53, 1,265.94 and 550.95 is: 826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.53 : 1,265.94 = 550.95 : x
  2. Step 2: Convert to fraction form
    843.53/1,265.94 = 550.95/x
  3. Step 3: Cross multiply
    843.53x = 1,265.94 × 550.95
  4. Step 4: Simplify right side
    843.53x = 697,460.56
  5. Step 5: Solve for x
    x = 697,460.56/843.53
  6. Step 6: Final answer
    x = 826.84

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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.