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Finding the Fourth Proportional to 712.71, 1,067.09 and 365.30

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Solution

The fourth proportional to 712.71, 1,067.09 and 365.30 is: 546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 1,067.09 = 365.30 : x
  2. Step 2: Convert to fraction form
    712.71/1,067.09 = 365.30/x
  3. Step 3: Cross multiply
    712.71x = 1,067.09 × 365.30
  4. Step 4: Simplify right side
    712.71x = 389,803.55
  5. Step 5: Solve for x
    x = 389,803.55/712.71
  6. Step 6: Final answer
    x = 546.93

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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.