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Finding the Fourth Proportional to 974.78, 1,461.85 and 281.22

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Solution

The fourth proportional to 974.78, 1,461.85 and 281.22 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.78 : 1,461.85 = 281.22 : x
  2. Step 2: Convert to fraction form
    974.78/1,461.85 = 281.22/x
  3. Step 3: Cross multiply
    974.78x = 1,461.85 × 281.22
  4. Step 4: Simplify right side
    974.78x = 411,103.49
  5. Step 5: Solve for x
    x = 411,103.49/974.78
  6. Step 6: Final answer
    x = 421.74

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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.