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Finding the Fourth Proportional to 1,126.83, 1,554.93 and 629.46

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Solution

The fourth proportional to 1,126.83, 1,554.93 and 629.46 is: 868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.83 : 1,554.93 = 629.46 : x
  2. Step 2: Convert to fraction form
    1,126.83/1,554.93 = 629.46/x
  3. Step 3: Cross multiply
    1,126.83x = 1,554.93 × 629.46
  4. Step 4: Simplify right side
    1,126.83x = 978,766.24
  5. Step 5: Solve for x
    x = 978,766.24/1,126.83
  6. Step 6: Final answer
    x = 868.60

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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.