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Finding the Fourth Proportional to 859.16, 1,289.27 and 789.46

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Solution

The fourth proportional to 859.16, 1,289.27 and 789.46 is: 1,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,289.27 = 789.46 : x
  2. Step 2: Convert to fraction form
    859.16/1,289.27 = 789.46/x
  3. Step 3: Cross multiply
    859.16x = 1,289.27 × 789.46
  4. Step 4: Simplify right side
    859.16x = 1,017,816.70
  5. Step 5: Solve for x
    x = 1,017,816.70/859.16
  6. Step 6: Final answer
    x = 1,184.66

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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.