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Finding the Fourth Proportional to 738.11, 1,105.75 and 412.49

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Solution

The fourth proportional to 738.11, 1,105.75 and 412.49 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.11 : 1,105.75 = 412.49 : x
  2. Step 2: Convert to fraction form
    738.11/1,105.75 = 412.49/x
  3. Step 3: Cross multiply
    738.11x = 1,105.75 × 412.49
  4. Step 4: Simplify right side
    738.11x = 456,114.10
  5. Step 5: Solve for x
    x = 456,114.10/738.11
  6. Step 6: Final answer
    x = 617.95

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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.