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Finding the Fourth Proportional to 756.29, 1,133.41 and 680.43

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Solution

The fourth proportional to 756.29, 1,133.41 and 680.43 is: 1,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.29 : 1,133.41 = 680.43 : x
  2. Step 2: Convert to fraction form
    756.29/1,133.41 = 680.43/x
  3. Step 3: Cross multiply
    756.29x = 1,133.41 × 680.43
  4. Step 4: Simplify right side
    756.29x = 771,206.17
  5. Step 5: Solve for x
    x = 771,206.17/756.29
  6. Step 6: Final answer
    x = 1,019.72

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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.