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Finding the Fourth Proportional to 738.43, 1,107.61 and 190.64

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Solution

The fourth proportional to 738.43, 1,107.61 and 190.64 is: 285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.43 : 1,107.61 = 190.64 : x
  2. Step 2: Convert to fraction form
    738.43/1,107.61 = 190.64/x
  3. Step 3: Cross multiply
    738.43x = 1,107.61 × 190.64
  4. Step 4: Simplify right side
    738.43x = 211,153.82
  5. Step 5: Solve for x
    x = 211,153.82/738.43
  6. Step 6: Final answer
    x = 285.95

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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.