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Finding the Fourth Proportional to 974.25, 1,461.66 and 454.56

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Solution

The fourth proportional to 974.25, 1,461.66 and 454.56 is: 681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.25 : 1,461.66 = 454.56 : x
  2. Step 2: Convert to fraction form
    974.25/1,461.66 = 454.56/x
  3. Step 3: Cross multiply
    974.25x = 1,461.66 × 454.56
  4. Step 4: Simplify right side
    974.25x = 664,412.17
  5. Step 5: Solve for x
    x = 664,412.17/974.25
  6. Step 6: Final answer
    x = 681.97

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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.