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Finding the Fourth Proportional to 738.16, 1,105.64 and 449.84

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Solution

The fourth proportional to 738.16, 1,105.64 and 449.84 is: 673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,105.64 = 449.84 : x
  2. Step 2: Convert to fraction form
    738.16/1,105.64 = 449.84/x
  3. Step 3: Cross multiply
    738.16x = 1,105.64 × 449.84
  4. Step 4: Simplify right side
    738.16x = 497,361.10
  5. Step 5: Solve for x
    x = 497,361.10/738.16
  6. Step 6: Final answer
    x = 673.78

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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.