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Finding the Fourth Proportional to 971.72, 1,456.63 and 537.96

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Solution

The fourth proportional to 971.72, 1,456.63 and 537.96 is: 806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,456.63 = 537.96 : x
  2. Step 2: Convert to fraction form
    971.72/1,456.63 = 537.96/x
  3. Step 3: Cross multiply
    971.72x = 1,456.63 × 537.96
  4. Step 4: Simplify right side
    971.72x = 783,607.33
  5. Step 5: Solve for x
    x = 783,607.33/971.72
  6. Step 6: Final answer
    x = 806.42

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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.