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Finding the Fourth Proportional to 711.69, 1,067.04 and 364.35

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Solution

The fourth proportional to 711.69, 1,067.04 and 364.35 is: 546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.69 : 1,067.04 = 364.35 : x
  2. Step 2: Convert to fraction form
    711.69/1,067.04 = 364.35/x
  3. Step 3: Cross multiply
    711.69x = 1,067.04 × 364.35
  4. Step 4: Simplify right side
    711.69x = 388,776.02
  5. Step 5: Solve for x
    x = 388,776.02/711.69
  6. Step 6: Final answer
    x = 546.27

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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.