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Finding the Fourth Proportional to 711.27, 1,066.21 and 364.77

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Solution

The fourth proportional to 711.27, 1,066.21 and 364.77 is: 546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.27 : 1,066.21 = 364.77 : x
  2. Step 2: Convert to fraction form
    711.27/1,066.21 = 364.77/x
  3. Step 3: Cross multiply
    711.27x = 1,066.21 × 364.77
  4. Step 4: Simplify right side
    711.27x = 388,920.51
  5. Step 5: Solve for x
    x = 388,920.51/711.27
  6. Step 6: Final answer
    x = 546.80

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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.