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Finding the Fourth Proportional to 712.36, 1,067.06 and 364.64

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Solution

The fourth proportional to 712.36, 1,067.06 and 364.64 is: 546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 1,067.06 = 364.64 : x
  2. Step 2: Convert to fraction form
    712.36/1,067.06 = 364.64/x
  3. Step 3: Cross multiply
    712.36x = 1,067.06 × 364.64
  4. Step 4: Simplify right side
    712.36x = 389,092.76
  5. Step 5: Solve for x
    x = 389,092.76/712.36
  6. Step 6: Final answer
    x = 546.20

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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.