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Finding the Fourth Proportional to 743.43, 1,025.92 and 411.81

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Solution

The fourth proportional to 743.43, 1,025.92 and 411.81 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.43 : 1,025.92 = 411.81 : x
  2. Step 2: Convert to fraction form
    743.43/1,025.92 = 411.81/x
  3. Step 3: Cross multiply
    743.43x = 1,025.92 × 411.81
  4. Step 4: Simplify right side
    743.43x = 422,484.12
  5. Step 5: Solve for x
    x = 422,484.12/743.43
  6. Step 6: Final answer
    x = 568.29

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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.