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Finding the Fourth Proportional to 1,291.60, 1,932.60 and 859.60

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Solution

The fourth proportional to 1,291.60, 1,932.60 and 859.60 is: 1,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.60 : 1,932.60 = 859.60 : x
  2. Step 2: Convert to fraction form
    1,291.60/1,932.60 = 859.60/x
  3. Step 3: Cross multiply
    1,291.60x = 1,932.60 × 859.60
  4. Step 4: Simplify right side
    1,291.60x = 1,661,262.96
  5. Step 5: Solve for x
    x = 1,661,262.96/1,291.60
  6. Step 6: Final answer
    x = 1,286.21

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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.