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Finding the Fourth Proportional to 712.80, 1,067.04 and 520.56

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Solution

The fourth proportional to 712.80, 1,067.04 and 520.56 is: 779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 1,067.04 = 520.56 : x
  2. Step 2: Convert to fraction form
    712.80/1,067.04 = 520.56/x
  3. Step 3: Cross multiply
    712.80x = 1,067.04 × 520.56
  4. Step 4: Simplify right side
    712.80x = 555,458.34
  5. Step 5: Solve for x
    x = 555,458.34/712.80
  6. Step 6: Final answer
    x = 779.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.