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Finding the Fourth Proportional to 971.89, 1,456.21 and 682.81

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Solution

The fourth proportional to 971.89, 1,456.21 and 682.81 is: 1,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.89 : 1,456.21 = 682.81 : x
  2. Step 2: Convert to fraction form
    971.89/1,456.21 = 682.81/x
  3. Step 3: Cross multiply
    971.89x = 1,456.21 × 682.81
  4. Step 4: Simplify right side
    971.89x = 994,311.96
  5. Step 5: Solve for x
    x = 994,311.96/971.89
  6. Step 6: Final answer
    x = 1,023.07

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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.