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Finding the Fourth Proportional to 1,126.96, 1,554.99 and 629.53

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Solution

The fourth proportional to 1,126.96, 1,554.99 and 629.53 is: 868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.96 : 1,554.99 = 629.53 : x
  2. Step 2: Convert to fraction form
    1,126.96/1,554.99 = 629.53/x
  3. Step 3: Cross multiply
    1,126.96x = 1,554.99 × 629.53
  4. Step 4: Simplify right side
    1,126.96x = 978,912.85
  5. Step 5: Solve for x
    x = 978,912.85/1,126.96
  6. Step 6: Final answer
    x = 868.63

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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.