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Finding the Fourth Proportional to 835.20, 1,253.36 and 450.72

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Solution

The fourth proportional to 835.20, 1,253.36 and 450.72 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,253.36 = 450.72 : x
  2. Step 2: Convert to fraction form
    835.20/1,253.36 = 450.72/x
  3. Step 3: Cross multiply
    835.20x = 1,253.36 × 450.72
  4. Step 4: Simplify right side
    835.20x = 564,914.42
  5. Step 5: Solve for x
    x = 564,914.42/835.20
  6. Step 6: Final answer
    x = 676.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.