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Finding the Fourth Proportional to 951.37, 1,426.84 and 431.03

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Solution

The fourth proportional to 951.37, 1,426.84 and 431.03 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.37 : 1,426.84 = 431.03 : x
  2. Step 2: Convert to fraction form
    951.37/1,426.84 = 431.03/x
  3. Step 3: Cross multiply
    951.37x = 1,426.84 × 431.03
  4. Step 4: Simplify right side
    951.37x = 615,001.56
  5. Step 5: Solve for x
    x = 615,001.56/951.37
  6. Step 6: Final answer
    x = 646.44

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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.