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Finding the Fourth Proportional to 1,049.40, 1,448.10 and 629.78

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Solution

The fourth proportional to 1,049.40, 1,448.10 and 629.78 is: 869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.40 : 1,448.10 = 629.78 : x
  2. Step 2: Convert to fraction form
    1,049.40/1,448.10 = 629.78/x
  3. Step 3: Cross multiply
    1,049.40x = 1,448.10 × 629.78
  4. Step 4: Simplify right side
    1,049.40x = 911,984.42
  5. Step 5: Solve for x
    x = 911,984.42/1,049.40
  6. Step 6: Final answer
    x = 869.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.