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Finding the Fourth Proportional to 738.12, 1,107.32 and 251.24

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Solution

The fourth proportional to 738.12, 1,107.32 and 251.24 is: 376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.12 : 1,107.32 = 251.24 : x
  2. Step 2: Convert to fraction form
    738.12/1,107.32 = 251.24/x
  3. Step 3: Cross multiply
    738.12x = 1,107.32 × 251.24
  4. Step 4: Simplify right side
    738.12x = 278,204.59
  5. Step 5: Solve for x
    x = 278,204.59/738.12
  6. Step 6: Final answer
    x = 376.91

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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.