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Finding the Fourth Proportional to 1,144.11, 1,716.54 and 364.24

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Solution

The fourth proportional to 1,144.11, 1,716.54 and 364.24 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.11 : 1,716.54 = 364.24 : x
  2. Step 2: Convert to fraction form
    1,144.11/1,716.54 = 364.24/x
  3. Step 3: Cross multiply
    1,144.11x = 1,716.54 × 364.24
  4. Step 4: Simplify right side
    1,144.11x = 625,232.53
  5. Step 5: Solve for x
    x = 625,232.53/1,144.11
  6. Step 6: Final answer
    x = 546.48

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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.