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Finding the Fourth Proportional to 738.09, 1,106.13 and 408.52

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Solution

The fourth proportional to 738.09, 1,106.13 and 408.52 is: 612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.09 : 1,106.13 = 408.52 : x
  2. Step 2: Convert to fraction form
    738.09/1,106.13 = 408.52/x
  3. Step 3: Cross multiply
    738.09x = 1,106.13 × 408.52
  4. Step 4: Simplify right side
    738.09x = 451,876.23
  5. Step 5: Solve for x
    x = 451,876.23/738.09
  6. Step 6: Final answer
    x = 612.22

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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.