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Finding the Fourth Proportional to 971.16, 1,456.97 and 277.85

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Solution

The fourth proportional to 971.16, 1,456.97 and 277.85 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.16 : 1,456.97 = 277.85 : x
  2. Step 2: Convert to fraction form
    971.16/1,456.97 = 277.85/x
  3. Step 3: Cross multiply
    971.16x = 1,456.97 × 277.85
  4. Step 4: Simplify right side
    971.16x = 404,810.44
  5. Step 5: Solve for x
    x = 404,810.44/971.16
  6. Step 6: Final answer
    x = 416.83

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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.