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Finding the Fourth Proportional to 754.48, 1,132.08 and 321.76

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Solution

The fourth proportional to 754.48, 1,132.08 and 321.76 is: 482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.48 : 1,132.08 = 321.76 : x
  2. Step 2: Convert to fraction form
    754.48/1,132.08 = 321.76/x
  3. Step 3: Cross multiply
    754.48x = 1,132.08 × 321.76
  4. Step 4: Simplify right side
    754.48x = 364,258.06
  5. Step 5: Solve for x
    x = 364,258.06/754.48
  6. Step 6: Final answer
    x = 482.79

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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.