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Finding the Fourth Proportional to 974.33, 1,460.75 and 487.73

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Solution

The fourth proportional to 974.33, 1,460.75 and 487.73 is: 731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.33 : 1,460.75 = 487.73 : x
  2. Step 2: Convert to fraction form
    974.33/1,460.75 = 487.73/x
  3. Step 3: Cross multiply
    974.33x = 1,460.75 × 487.73
  4. Step 4: Simplify right side
    974.33x = 712,441.86
  5. Step 5: Solve for x
    x = 712,441.86/974.33
  6. Step 6: Final answer
    x = 731.22

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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.