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Finding the Fourth Proportional to 756.86, 1,134.83 and 493.50

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Solution

The fourth proportional to 756.86, 1,134.83 and 493.50 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,134.83 = 493.50 : x
  2. Step 2: Convert to fraction form
    756.86/1,134.83 = 493.50/x
  3. Step 3: Cross multiply
    756.86x = 1,134.83 × 493.50
  4. Step 4: Simplify right side
    756.86x = 560,040.39
  5. Step 5: Solve for x
    x = 560,040.39/756.86
  6. Step 6: Final answer
    x = 739.96

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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.