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Finding the Fourth Proportional to 711.35, 1,066.82 and 364.57

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Solution

The fourth proportional to 711.35, 1,066.82 and 364.57 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.35 : 1,066.82 = 364.57 : x
  2. Step 2: Convert to fraction form
    711.35/1,066.82 = 364.57/x
  3. Step 3: Cross multiply
    711.35x = 1,066.82 × 364.57
  4. Step 4: Simplify right side
    711.35x = 388,926.08
  5. Step 5: Solve for x
    x = 388,926.08/711.35
  6. Step 6: Final answer
    x = 546.75

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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.