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Finding the Fourth Proportional to 756.24, 1,134.16 and 269.28

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Solution

The fourth proportional to 756.24, 1,134.16 and 269.28 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.24 : 1,134.16 = 269.28 : x
  2. Step 2: Convert to fraction form
    756.24/1,134.16 = 269.28/x
  3. Step 3: Cross multiply
    756.24x = 1,134.16 × 269.28
  4. Step 4: Simplify right side
    756.24x = 305,406.60
  5. Step 5: Solve for x
    x = 305,406.60/756.24
  6. Step 6: Final answer
    x = 403.85

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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.