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Finding the Fourth Proportional to 712.72, 1,067.36 and 547.99

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Solution

The fourth proportional to 712.72, 1,067.36 and 547.99 is: 820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 1,067.36 = 547.99 : x
  2. Step 2: Convert to fraction form
    712.72/1,067.36 = 547.99/x
  3. Step 3: Cross multiply
    712.72x = 1,067.36 × 547.99
  4. Step 4: Simplify right side
    712.72x = 584,899.25
  5. Step 5: Solve for x
    x = 584,899.25/712.72
  6. Step 6: Final answer
    x = 820.66

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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.