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Finding the Fourth Proportional to 738.05, 1,105.66 and 412.43

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Solution

The fourth proportional to 738.05, 1,105.66 and 412.43 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.05 : 1,105.66 = 412.43 : x
  2. Step 2: Convert to fraction form
    738.05/1,105.66 = 412.43/x
  3. Step 3: Cross multiply
    738.05x = 1,105.66 × 412.43
  4. Step 4: Simplify right side
    738.05x = 456,006.32
  5. Step 5: Solve for x
    x = 456,006.32/738.05
  6. Step 6: Final answer
    x = 617.85

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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.