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Finding the Fourth Proportional to 859.73, 1,289.60 and 282.60

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Solution

The fourth proportional to 859.73, 1,289.60 and 282.60 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.73 : 1,289.60 = 282.60 : x
  2. Step 2: Convert to fraction form
    859.73/1,289.60 = 282.60/x
  3. Step 3: Cross multiply
    859.73x = 1,289.60 × 282.60
  4. Step 4: Simplify right side
    859.73x = 364,440.96
  5. Step 5: Solve for x
    x = 364,440.96/859.73
  6. Step 6: Final answer
    x = 423.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.