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Finding the Fourth Proportional to 711.82, 1,067.74 and 347.32

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Solution

The fourth proportional to 711.82, 1,067.74 and 347.32 is: 520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.82 : 1,067.74 = 347.32 : x
  2. Step 2: Convert to fraction form
    711.82/1,067.74 = 347.32/x
  3. Step 3: Cross multiply
    711.82x = 1,067.74 × 347.32
  4. Step 4: Simplify right side
    711.82x = 370,847.46
  5. Step 5: Solve for x
    x = 370,847.46/711.82
  6. Step 6: Final answer
    x = 520.98

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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.