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Finding the Fourth Proportional to 712.64, 1,067.64 and 423.20

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Solution

The fourth proportional to 712.64, 1,067.64 and 423.20 is: 634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 1,067.64 = 423.20 : x
  2. Step 2: Convert to fraction form
    712.64/1,067.64 = 423.20/x
  3. Step 3: Cross multiply
    712.64x = 1,067.64 × 423.20
  4. Step 4: Simplify right side
    712.64x = 451,825.25
  5. Step 5: Solve for x
    x = 451,825.25/712.64
  6. Step 6: Final answer
    x = 634.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.