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Finding the Fourth Proportional to 1,453.66, 2,180.49 and 529.27

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Solution

The fourth proportional to 1,453.66, 2,180.49 and 529.27 is: 793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.66 : 2,180.49 = 529.27 : x
  2. Step 2: Convert to fraction form
    1,453.66/2,180.49 = 529.27/x
  3. Step 3: Cross multiply
    1,453.66x = 2,180.49 × 529.27
  4. Step 4: Simplify right side
    1,453.66x = 1,154,067.94
  5. Step 5: Solve for x
    x = 1,154,067.94/1,453.66
  6. Step 6: Final answer
    x = 793.91

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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.