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Finding the Fourth Proportional to 859.35, 1,289.79 and 443.17

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Solution

The fourth proportional to 859.35, 1,289.79 and 443.17 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.35 : 1,289.79 = 443.17 : x
  2. Step 2: Convert to fraction form
    859.35/1,289.79 = 443.17/x
  3. Step 3: Cross multiply
    859.35x = 1,289.79 × 443.17
  4. Step 4: Simplify right side
    859.35x = 571,597.85
  5. Step 5: Solve for x
    x = 571,597.85/859.35
  6. Step 6: Final answer
    x = 665.15

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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.