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Finding the Fourth Proportional to 1,239.86, 1,711.37 and 846.87

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Solution

The fourth proportional to 1,239.86, 1,711.37 and 846.87 is: 1,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.86 : 1,711.37 = 846.87 : x
  2. Step 2: Convert to fraction form
    1,239.86/1,711.37 = 846.87/x
  3. Step 3: Cross multiply
    1,239.86x = 1,711.37 × 846.87
  4. Step 4: Simplify right side
    1,239.86x = 1,449,310.03
  5. Step 5: Solve for x
    x = 1,449,310.03/1,239.86
  6. Step 6: Final answer
    x = 1,168.94

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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.