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Finding the Fourth Proportional to 711.19, 1,067.16 and 341.42

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Solution

The fourth proportional to 711.19, 1,067.16 and 341.42 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.19 : 1,067.16 = 341.42 : x
  2. Step 2: Convert to fraction form
    711.19/1,067.16 = 341.42/x
  3. Step 3: Cross multiply
    711.19x = 1,067.16 × 341.42
  4. Step 4: Simplify right side
    711.19x = 364,342.72
  5. Step 5: Solve for x
    x = 364,342.72/711.19
  6. Step 6: Final answer
    x = 512.30

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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.