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Finding the Fourth Proportional to 743.12, 1,025.54 and 411.60

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Solution

The fourth proportional to 743.12, 1,025.54 and 411.60 is: 568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.12 : 1,025.54 = 411.60 : x
  2. Step 2: Convert to fraction form
    743.12/1,025.54 = 411.60/x
  3. Step 3: Cross multiply
    743.12x = 1,025.54 × 411.60
  4. Step 4: Simplify right side
    743.12x = 422,110.21
  5. Step 5: Solve for x
    x = 422,110.21/743.12
  6. Step 6: Final answer
    x = 568.02

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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.