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Finding the Fourth Proportional to 712.08, 1,067.82 and 437.76

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Solution

The fourth proportional to 712.08, 1,067.82 and 437.76 is: 656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.08 : 1,067.82 = 437.76 : x
  2. Step 2: Convert to fraction form
    712.08/1,067.82 = 437.76/x
  3. Step 3: Cross multiply
    712.08x = 1,067.82 × 437.76
  4. Step 4: Simplify right side
    712.08x = 467,448.88
  5. Step 5: Solve for x
    x = 467,448.88/712.08
  6. Step 6: Final answer
    x = 656.46

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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.