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Finding the Fourth Proportional to 1,143.54, 1,716.28 and 450.69

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Solution

The fourth proportional to 1,143.54, 1,716.28 and 450.69 is: 676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.54 : 1,716.28 = 450.69 : x
  2. Step 2: Convert to fraction form
    1,143.54/1,716.28 = 450.69/x
  3. Step 3: Cross multiply
    1,143.54x = 1,716.28 × 450.69
  4. Step 4: Simplify right side
    1,143.54x = 773,510.23
  5. Step 5: Solve for x
    x = 773,510.23/1,143.54
  6. Step 6: Final answer
    x = 676.42

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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.