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Finding the Fourth Proportional to 743.32, 1,025.82 and 411.79

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Solution

The fourth proportional to 743.32, 1,025.82 and 411.79 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.32 : 1,025.82 = 411.79 : x
  2. Step 2: Convert to fraction form
    743.32/1,025.82 = 411.79/x
  3. Step 3: Cross multiply
    743.32x = 1,025.82 × 411.79
  4. Step 4: Simplify right side
    743.32x = 422,417.29
  5. Step 5: Solve for x
    x = 422,417.29/743.32
  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.