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Finding the Fourth Proportional to 756.28, 1,134.28 and 262.64

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Solution

The fourth proportional to 756.28, 1,134.28 and 262.64 is: 393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.28 : 1,134.28 = 262.64 : x
  2. Step 2: Convert to fraction form
    756.28/1,134.28 = 262.64/x
  3. Step 3: Cross multiply
    756.28x = 1,134.28 × 262.64
  4. Step 4: Simplify right side
    756.28x = 297,907.30
  5. Step 5: Solve for x
    x = 297,907.30/756.28
  6. Step 6: Final answer
    x = 393.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.