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Finding the Fourth Proportional to 743.46, 1,025.94 and 411.86

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Solution

The fourth proportional to 743.46, 1,025.94 and 411.86 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.46 : 1,025.94 = 411.86 : x
  2. Step 2: Convert to fraction form
    743.46/1,025.94 = 411.86/x
  3. Step 3: Cross multiply
    743.46x = 1,025.94 × 411.86
  4. Step 4: Simplify right side
    743.46x = 422,536.46
  5. Step 5: Solve for x
    x = 422,536.46/743.46
  6. Step 6: Final answer
    x = 568.34

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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.