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Finding the Fourth Proportional to 951.43, 1,427.61 and 464.22

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Solution

The fourth proportional to 951.43, 1,427.61 and 464.22 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.43 : 1,427.61 = 464.22 : x
  2. Step 2: Convert to fraction form
    951.43/1,427.61 = 464.22/x
  3. Step 3: Cross multiply
    951.43x = 1,427.61 × 464.22
  4. Step 4: Simplify right side
    951.43x = 662,725.11
  5. Step 5: Solve for x
    x = 662,725.11/951.43
  6. Step 6: Final answer
    x = 696.56

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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.