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Finding the Fourth Proportional to 712.62, 1,067.56 and 529.47

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Solution

The fourth proportional to 712.62, 1,067.56 and 529.47 is: 793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 1,067.56 = 529.47 : x
  2. Step 2: Convert to fraction form
    712.62/1,067.56 = 529.47/x
  3. Step 3: Cross multiply
    712.62x = 1,067.56 × 529.47
  4. Step 4: Simplify right side
    712.62x = 565,239.67
  5. Step 5: Solve for x
    x = 565,239.67/712.62
  6. Step 6: Final answer
    x = 793.19

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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.