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Finding the Fourth Proportional to 821.38, 1,230.45 and 667.48

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Solution

The fourth proportional to 821.38, 1,230.45 and 667.48 is: 999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.38 : 1,230.45 = 667.48 : x
  2. Step 2: Convert to fraction form
    821.38/1,230.45 = 667.48/x
  3. Step 3: Cross multiply
    821.38x = 1,230.45 × 667.48
  4. Step 4: Simplify right side
    821.38x = 821,300.77
  5. Step 5: Solve for x
    x = 821,300.77/821.38
  6. Step 6: Final answer
    x = 999.90

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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.