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Finding the Fourth Proportional to 1,052.82, 1,452.60 and 679.82

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Solution

The fourth proportional to 1,052.82, 1,452.60 and 679.82 is: 937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.82 : 1,452.60 = 679.82 : x
  2. Step 2: Convert to fraction form
    1,052.82/1,452.60 = 679.82/x
  3. Step 3: Cross multiply
    1,052.82x = 1,452.60 × 679.82
  4. Step 4: Simplify right side
    1,052.82x = 987,499.27
  5. Step 5: Solve for x
    x = 987,499.27/1,052.82
  6. Step 6: Final answer
    x = 937.96

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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.