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Finding the Fourth Proportional to 974.76, 1,461.82 and 281.23

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Solution

The fourth proportional to 974.76, 1,461.82 and 281.23 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.76 : 1,461.82 = 281.23 : x
  2. Step 2: Convert to fraction form
    974.76/1,461.82 = 281.23/x
  3. Step 3: Cross multiply
    974.76x = 1,461.82 × 281.23
  4. Step 4: Simplify right side
    974.76x = 411,107.64
  5. Step 5: Solve for x
    x = 411,107.64/974.76
  6. Step 6: Final answer
    x = 421.75

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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.