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Finding the Fourth Proportional to 756.56, 1,134.14 and 269.35

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Solution

The fourth proportional to 756.56, 1,134.14 and 269.35 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.56 : 1,134.14 = 269.35 : x
  2. Step 2: Convert to fraction form
    756.56/1,134.14 = 269.35/x
  3. Step 3: Cross multiply
    756.56x = 1,134.14 × 269.35
  4. Step 4: Simplify right side
    756.56x = 305,476.43
  5. Step 5: Solve for x
    x = 305,476.43/756.56
  6. Step 6: Final answer
    x = 403.77

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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.