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Finding the Fourth Proportional to 756.08, 1,134.66 and 512.84

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Solution

The fourth proportional to 756.08, 1,134.66 and 512.84 is: 769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.08 : 1,134.66 = 512.84 : x
  2. Step 2: Convert to fraction form
    756.08/1,134.66 = 512.84/x
  3. Step 3: Cross multiply
    756.08x = 1,134.66 × 512.84
  4. Step 4: Simplify right side
    756.08x = 581,899.03
  5. Step 5: Solve for x
    x = 581,899.03/756.08
  6. Step 6: Final answer
    x = 769.63

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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.