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Finding the Fourth Proportional to 1,239.86, 1,711.05 and 680.34

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Solution

The fourth proportional to 1,239.86, 1,711.05 and 680.34 is: 938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.86 : 1,711.05 = 680.34 : x
  2. Step 2: Convert to fraction form
    1,239.86/1,711.05 = 680.34/x
  3. Step 3: Cross multiply
    1,239.86x = 1,711.05 × 680.34
  4. Step 4: Simplify right side
    1,239.86x = 1,164,092.36
  5. Step 5: Solve for x
    x = 1,164,092.36/1,239.86
  6. Step 6: Final answer
    x = 938.89

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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.