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Finding the Fourth Proportional to 1,103.86, 1,652.56 and 859.64

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Solution

The fourth proportional to 1,103.86, 1,652.56 and 859.64 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.86 : 1,652.56 = 859.64 : x
  2. Step 2: Convert to fraction form
    1,103.86/1,652.56 = 859.64/x
  3. Step 3: Cross multiply
    1,103.86x = 1,652.56 × 859.64
  4. Step 4: Simplify right side
    1,103.86x = 1,420,606.68
  5. Step 5: Solve for x
    x = 1,420,606.68/1,103.86
  6. Step 6: Final answer
    x = 1,286.94

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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.