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Finding the Fourth Proportional to 738.54, 1,105.02 and 446.13

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Solution

The fourth proportional to 738.54, 1,105.02 and 446.13 is: 667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,105.02 = 446.13 : x
  2. Step 2: Convert to fraction form
    738.54/1,105.02 = 446.13/x
  3. Step 3: Cross multiply
    738.54x = 1,105.02 × 446.13
  4. Step 4: Simplify right side
    738.54x = 492,982.57
  5. Step 5: Solve for x
    x = 492,982.57/738.54
  6. Step 6: Final answer
    x = 667.51

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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.