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Finding the Fourth Proportional to 951.40, 1,426.92 and 464.24

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Solution

The fourth proportional to 951.40, 1,426.92 and 464.24 is: 696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.40 : 1,426.92 = 464.24 : x
  2. Step 2: Convert to fraction form
    951.40/1,426.92 = 464.24/x
  3. Step 3: Cross multiply
    951.40x = 1,426.92 × 464.24
  4. Step 4: Simplify right side
    951.40x = 662,433.34
  5. Step 5: Solve for x
    x = 662,433.34/951.40
  6. Step 6: Final answer
    x = 696.27

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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.