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Finding the Fourth Proportional to 1,049.21, 1,448.00 and 676.97

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Solution

The fourth proportional to 1,049.21, 1,448.00 and 676.97 is: 934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.21 : 1,448.00 = 676.97 : x
  2. Step 2: Convert to fraction form
    1,049.21/1,448.00 = 676.97/x
  3. Step 3: Cross multiply
    1,049.21x = 1,448.00 × 676.97
  4. Step 4: Simplify right side
    1,049.21x = 980,241.94
  5. Step 5: Solve for x
    x = 980,241.94/1,049.21
  6. Step 6: Final answer
    x = 934.26

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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.