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Finding the Fourth Proportional to 1,049.57, 1,448.12 and 676.68

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Solution

The fourth proportional to 1,049.57, 1,448.12 and 676.68 is: 933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.57 : 1,448.12 = 676.68 : x
  2. Step 2: Convert to fraction form
    1,049.57/1,448.12 = 676.68/x
  3. Step 3: Cross multiply
    1,049.57x = 1,448.12 × 676.68
  4. Step 4: Simplify right side
    1,049.57x = 979,910.46
  5. Step 5: Solve for x
    x = 979,910.46/1,049.57
  6. Step 6: Final answer
    x = 933.63

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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.