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Finding the Fourth Proportional to 1,150.25, 1,723.82 and 629.47

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Solution

The fourth proportional to 1,150.25, 1,723.82 and 629.47 is: 943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.25 : 1,723.82 = 629.47 : x
  2. Step 2: Convert to fraction form
    1,150.25/1,723.82 = 629.47/x
  3. Step 3: Cross multiply
    1,150.25x = 1,723.82 × 629.47
  4. Step 4: Simplify right side
    1,150.25x = 1,085,084.36
  5. Step 5: Solve for x
    x = 1,085,084.36/1,150.25
  6. Step 6: Final answer
    x = 943.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.