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Finding the Fourth Proportional to 754.73, 1,132.26 and 316.05

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Solution

The fourth proportional to 754.73, 1,132.26 and 316.05 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.73 : 1,132.26 = 316.05 : x
  2. Step 2: Convert to fraction form
    754.73/1,132.26 = 316.05/x
  3. Step 3: Cross multiply
    754.73x = 1,132.26 × 316.05
  4. Step 4: Simplify right side
    754.73x = 357,850.77
  5. Step 5: Solve for x
    x = 357,850.77/754.73
  6. Step 6: Final answer
    x = 474.14

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Why These Related Problems?

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