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Finding the Fourth Proportional to 816.13, 1,126.77 and 629.26

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Solution

The fourth proportional to 816.13, 1,126.77 and 629.26 is: 868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.13 : 1,126.77 = 629.26 : x
  2. Step 2: Convert to fraction form
    816.13/1,126.77 = 629.26/x
  3. Step 3: Cross multiply
    816.13x = 1,126.77 × 629.26
  4. Step 4: Simplify right side
    816.13x = 709,034.11
  5. Step 5: Solve for x
    x = 709,034.11/816.13
  6. Step 6: Final answer
    x = 868.78

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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.