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Finding the Fourth Proportional to 754.85, 1,132.48 and 682.56

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Solution

The fourth proportional to 754.85, 1,132.48 and 682.56 is: 1,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.85 : 1,132.48 = 682.56 : x
  2. Step 2: Convert to fraction form
    754.85/1,132.48 = 682.56/x
  3. Step 3: Cross multiply
    754.85x = 1,132.48 × 682.56
  4. Step 4: Simplify right side
    754.85x = 772,979.89
  5. Step 5: Solve for x
    x = 772,979.89/754.85
  6. Step 6: Final answer
    x = 1,024.02

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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.