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Finding the Fourth Proportional to 859.20, 1,182.96 and 684.96

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Solution

The fourth proportional to 859.20, 1,182.96 and 684.96 is: 943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.20 : 1,182.96 = 684.96 : x
  2. Step 2: Convert to fraction form
    859.20/1,182.96 = 684.96/x
  3. Step 3: Cross multiply
    859.20x = 1,182.96 × 684.96
  4. Step 4: Simplify right side
    859.20x = 810,280.28
  5. Step 5: Solve for x
    x = 810,280.28/859.20
  6. Step 6: Final answer
    x = 943.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.