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Finding the Fourth Proportional to 1,452.26, 2,179.07 and 671.78

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Solution

The fourth proportional to 1,452.26, 2,179.07 and 671.78 is: 1,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.26 : 2,179.07 = 671.78 : x
  2. Step 2: Convert to fraction form
    1,452.26/2,179.07 = 671.78/x
  3. Step 3: Cross multiply
    1,452.26x = 2,179.07 × 671.78
  4. Step 4: Simplify right side
    1,452.26x = 1,463,841.39
  5. Step 5: Solve for x
    x = 1,463,841.39/1,452.26
  6. Step 6: Final answer
    x = 1,007.98

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Why These Related Problems?

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