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Finding the Fourth Proportional to 712.64, 1,067.68 and 408

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Solution

The fourth proportional to 712.64, 1,067.68 and 408 is: 611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 1,067.68 = 408 : x
  2. Step 2: Convert to fraction form
    712.64/1,067.68 = 408/x
  3. Step 3: Cross multiply
    712.64x = 1,067.68 × 408
  4. Step 4: Simplify right side
    712.64x = 435,613.44
  5. Step 5: Solve for x
    x = 435,613.44/712.64
  6. Step 6: Final answer
    x = 611.27

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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.