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Finding the Fourth Proportional to 756.59, 1,134.86 and 243.59

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Solution

The fourth proportional to 756.59, 1,134.86 and 243.59 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.59 : 1,134.86 = 243.59 : x
  2. Step 2: Convert to fraction form
    756.59/1,134.86 = 243.59/x
  3. Step 3: Cross multiply
    756.59x = 1,134.86 × 243.59
  4. Step 4: Simplify right side
    756.59x = 276,433.66
  5. Step 5: Solve for x
    x = 276,433.66/756.59
  6. Step 6: Final answer
    x = 365.37

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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.