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Finding the Fourth Proportional to 1,245.86, 1,865.27 and 659.53

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Solution

The fourth proportional to 1,245.86, 1,865.27 and 659.53 is: 987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.86 : 1,865.27 = 659.53 : x
  2. Step 2: Convert to fraction form
    1,245.86/1,865.27 = 659.53/x
  3. Step 3: Cross multiply
    1,245.86x = 1,865.27 × 659.53
  4. Step 4: Simplify right side
    1,245.86x = 1,230,198.23
  5. Step 5: Solve for x
    x = 1,230,198.23/1,245.86
  6. Step 6: Final answer
    x = 987.43

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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.