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Finding the Fourth Proportional to 859.29, 1,289.45 and 789.58

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Solution

The fourth proportional to 859.29, 1,289.45 and 789.58 is: 1,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.29 : 1,289.45 = 789.58 : x
  2. Step 2: Convert to fraction form
    859.29/1,289.45 = 789.58/x
  3. Step 3: Cross multiply
    859.29x = 1,289.45 × 789.58
  4. Step 4: Simplify right side
    859.29x = 1,018,127.52
  5. Step 5: Solve for x
    x = 1,018,127.52/859.29
  6. Step 6: Final answer
    x = 1,184.85

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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.