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Finding the Fourth Proportional to 1,144.19, 1,716.28 and 374.69

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Solution

The fourth proportional to 1,144.19, 1,716.28 and 374.69 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.19 : 1,716.28 = 374.69 : x
  2. Step 2: Convert to fraction form
    1,144.19/1,716.28 = 374.69/x
  3. Step 3: Cross multiply
    1,144.19x = 1,716.28 × 374.69
  4. Step 4: Simplify right side
    1,144.19x = 643,072.95
  5. Step 5: Solve for x
    x = 643,072.95/1,144.19
  6. Step 6: Final answer
    x = 562.03

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