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Finding the Fourth Proportional to 743.50, 1,025.97 and 411.91

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Solution

The fourth proportional to 743.50, 1,025.97 and 411.91 is: 568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.50 : 1,025.97 = 411.91 : x
  2. Step 2: Convert to fraction form
    743.50/1,025.97 = 411.91/x
  3. Step 3: Cross multiply
    743.50x = 1,025.97 × 411.91
  4. Step 4: Simplify right side
    743.50x = 422,607.30
  5. Step 5: Solve for x
    x = 422,607.30/743.50
  6. Step 6: Final answer
    x = 568.40

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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.