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Finding the Fourth Proportional to 748.63, 1,032.91 and 449.74

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Solution

The fourth proportional to 748.63, 1,032.91 and 449.74 is: 620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.63 : 1,032.91 = 449.74 : x
  2. Step 2: Convert to fraction form
    748.63/1,032.91 = 449.74/x
  3. Step 3: Cross multiply
    748.63x = 1,032.91 × 449.74
  4. Step 4: Simplify right side
    748.63x = 464,540.94
  5. Step 5: Solve for x
    x = 464,540.94/748.63
  6. Step 6: Final answer
    x = 620.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.