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Finding the Fourth Proportional to 839.35, 1,257.22 and 816.31

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Solution

The fourth proportional to 839.35, 1,257.22 and 816.31 is: 1,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.35 : 1,257.22 = 816.31 : x
  2. Step 2: Convert to fraction form
    839.35/1,257.22 = 816.31/x
  3. Step 3: Cross multiply
    839.35x = 1,257.22 × 816.31
  4. Step 4: Simplify right side
    839.35x = 1,026,270.89
  5. Step 5: Solve for x
    x = 1,026,270.89/839.35
  6. Step 6: Final answer
    x = 1,222.70

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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.