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Finding the Fourth Proportional to 742.63, 1,024.69 and 447.92

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Solution

The fourth proportional to 742.63, 1,024.69 and 447.92 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,024.69 = 447.92 : x
  2. Step 2: Convert to fraction form
    742.63/1,024.69 = 447.92/x
  3. Step 3: Cross multiply
    742.63x = 1,024.69 × 447.92
  4. Step 4: Simplify right side
    742.63x = 458,979.14
  5. Step 5: Solve for x
    x = 458,979.14/742.63
  6. Step 6: Final answer
    x = 618.05

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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.