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Finding the Fourth Proportional to 951.46, 1,426.63 and 843.46

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Solution

The fourth proportional to 951.46, 1,426.63 and 843.46 is: 1,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.46 : 1,426.63 = 843.46 : x
  2. Step 2: Convert to fraction form
    951.46/1,426.63 = 843.46/x
  3. Step 3: Cross multiply
    951.46x = 1,426.63 × 843.46
  4. Step 4: Simplify right side
    951.46x = 1,203,305.34
  5. Step 5: Solve for x
    x = 1,203,305.34/951.46
  6. Step 6: Final answer
    x = 1,264.69

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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.