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Finding the Fourth Proportional to 712.34, 1,067.00 and 364.61

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Solution

The fourth proportional to 712.34, 1,067.00 and 364.61 is: 546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 1,067.00 = 364.61 : x
  2. Step 2: Convert to fraction form
    712.34/1,067.00 = 364.61/x
  3. Step 3: Cross multiply
    712.34x = 1,067.00 × 364.61
  4. Step 4: Simplify right side
    712.34x = 389,042.45
  5. Step 5: Solve for x
    x = 389,042.45/712.34
  6. Step 6: Final answer
    x = 546.15

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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.