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Finding the Fourth Proportional to 947.91, 1,422.57 and 684.23

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Solution

The fourth proportional to 947.91, 1,422.57 and 684.23 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.91 : 1,422.57 = 684.23 : x
  2. Step 2: Convert to fraction form
    947.91/1,422.57 = 684.23/x
  3. Step 3: Cross multiply
    947.91x = 1,422.57 × 684.23
  4. Step 4: Simplify right side
    947.91x = 973,357.96
  5. Step 5: Solve for x
    x = 973,357.96/947.91
  6. Step 6: Final answer
    x = 1,026.85

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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.