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Finding the Fourth Proportional to 712.17, 1,067.07 and 437.68

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Solution

The fourth proportional to 712.17, 1,067.07 and 437.68 is: 655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.17 : 1,067.07 = 437.68 : x
  2. Step 2: Convert to fraction form
    712.17/1,067.07 = 437.68/x
  3. Step 3: Cross multiply
    712.17x = 1,067.07 × 437.68
  4. Step 4: Simplify right side
    712.17x = 467,029.86
  5. Step 5: Solve for x
    x = 467,029.86/712.17
  6. Step 6: Final answer
    x = 655.79

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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.