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Finding the Fourth Proportional to 711.66, 1,067.78 and 364.82

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Solution

The fourth proportional to 711.66, 1,067.78 and 364.82 is: 547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.66 : 1,067.78 = 364.82 : x
  2. Step 2: Convert to fraction form
    711.66/1,067.78 = 364.82/x
  3. Step 3: Cross multiply
    711.66x = 1,067.78 × 364.82
  4. Step 4: Simplify right side
    711.66x = 389,547.50
  5. Step 5: Solve for x
    x = 389,547.50/711.66
  6. Step 6: Final answer
    x = 547.38

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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.