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Finding the Fourth Proportional to 859.71, 1,289.97 and 817.46

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Solution

The fourth proportional to 859.71, 1,289.97 and 817.46 is: 1,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.71 : 1,289.97 = 817.46 : x
  2. Step 2: Convert to fraction form
    859.71/1,289.97 = 817.46/x
  3. Step 3: Cross multiply
    859.71x = 1,289.97 × 817.46
  4. Step 4: Simplify right side
    859.71x = 1,054,492.43
  5. Step 5: Solve for x
    x = 1,054,492.43/859.71
  6. Step 6: Final answer
    x = 1,226.57

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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.