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Finding the Fourth Proportional to 1,234.37, 1,701.62 and 939.12

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Solution

The fourth proportional to 1,234.37, 1,701.62 and 939.12 is: 1,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.37 : 1,701.62 = 939.12 : x
  2. Step 2: Convert to fraction form
    1,234.37/1,701.62 = 939.12/x
  3. Step 3: Cross multiply
    1,234.37x = 1,701.62 × 939.12
  4. Step 4: Simplify right side
    1,234.37x = 1,598,025.37
  5. Step 5: Solve for x
    x = 1,598,025.37/1,234.37
  6. Step 6: Final answer
    x = 1,294.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.