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Finding the Fourth Proportional to 711.86, 1,066.83 and 538.39

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Solution

The fourth proportional to 711.86, 1,066.83 and 538.39 is: 806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 1,066.83 = 538.39 : x
  2. Step 2: Convert to fraction form
    711.86/1,066.83 = 538.39/x
  3. Step 3: Cross multiply
    711.86x = 1,066.83 × 538.39
  4. Step 4: Simplify right side
    711.86x = 574,370.60
  5. Step 5: Solve for x
    x = 574,370.60/711.86
  6. Step 6: Final answer
    x = 806.86

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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.