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Finding the Fourth Proportional to 821.85, 1,233.05 and 383.31

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Solution

The fourth proportional to 821.85, 1,233.05 and 383.31 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.85 : 1,233.05 = 383.31 : x
  2. Step 2: Convert to fraction form
    821.85/1,233.05 = 383.31/x
  3. Step 3: Cross multiply
    821.85x = 1,233.05 × 383.31
  4. Step 4: Simplify right side
    821.85x = 472,638.48
  5. Step 5: Solve for x
    x = 472,638.48/821.85
  6. Step 6: Final answer
    x = 575.09

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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.