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Finding the Fourth Proportional to 974.82, 1,461.87 and 281.25

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Solution

The fourth proportional to 974.82, 1,461.87 and 281.25 is: 421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.82 : 1,461.87 = 281.25 : x
  2. Step 2: Convert to fraction form
    974.82/1,461.87 = 281.25/x
  3. Step 3: Cross multiply
    974.82x = 1,461.87 × 281.25
  4. Step 4: Simplify right side
    974.82x = 411,150.94
  5. Step 5: Solve for x
    x = 411,150.94/974.82
  6. Step 6: Final answer
    x = 421.77

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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.