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Finding the Fourth Proportional to 1,144.53, 1,716.41 and 451.02

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Solution

The fourth proportional to 1,144.53, 1,716.41 and 451.02 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.53 : 1,716.41 = 451.02 : x
  2. Step 2: Convert to fraction form
    1,144.53/1,716.41 = 451.02/x
  3. Step 3: Cross multiply
    1,144.53x = 1,716.41 × 451.02
  4. Step 4: Simplify right side
    1,144.53x = 774,135.24
  5. Step 5: Solve for x
    x = 774,135.24/1,144.53
  6. Step 6: Final answer
    x = 676.38

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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.