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Finding the Fourth Proportional to 974.97, 1,461.87 and 381.28

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Solution

The fourth proportional to 974.97, 1,461.87 and 381.28 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.97 : 1,461.87 = 381.28 : x
  2. Step 2: Convert to fraction form
    974.97/1,461.87 = 381.28/x
  3. Step 3: Cross multiply
    974.97x = 1,461.87 × 381.28
  4. Step 4: Simplify right side
    974.97x = 557,384.56
  5. Step 5: Solve for x
    x = 557,384.56/974.97
  6. Step 6: Final answer
    x = 571.69

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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.