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Finding the Fourth Proportional to 835.20, 1,251.12 and 469.44

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Solution

The fourth proportional to 835.20, 1,251.12 and 469.44 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,251.12 = 469.44 : x
  2. Step 2: Convert to fraction form
    835.20/1,251.12 = 469.44/x
  3. Step 3: Cross multiply
    835.20x = 1,251.12 × 469.44
  4. Step 4: Simplify right side
    835.20x = 587,325.77
  5. Step 5: Solve for x
    x = 587,325.77/835.20
  6. Step 6: Final answer
    x = 703.22

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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.