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Finding the Fourth Proportional to 947.87, 1,422.66 and 684.57

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Solution

The fourth proportional to 947.87, 1,422.66 and 684.57 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.87 : 1,422.66 = 684.57 : x
  2. Step 2: Convert to fraction form
    947.87/1,422.66 = 684.57/x
  3. Step 3: Cross multiply
    947.87x = 1,422.66 × 684.57
  4. Step 4: Simplify right side
    947.87x = 973,910.36
  5. Step 5: Solve for x
    x = 973,910.36/947.87
  6. Step 6: Final answer
    x = 1,027.48

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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.