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Finding the Fourth Proportional to 859.60, 1,289.25 and 243.37

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Solution

The fourth proportional to 859.60, 1,289.25 and 243.37 is: 365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.60 : 1,289.25 = 243.37 : x
  2. Step 2: Convert to fraction form
    859.60/1,289.25 = 243.37/x
  3. Step 3: Cross multiply
    859.60x = 1,289.25 × 243.37
  4. Step 4: Simplify right side
    859.60x = 313,764.77
  5. Step 5: Solve for x
    x = 313,764.77/859.60
  6. Step 6: Final answer
    x = 365.01

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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.