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Finding the Fourth Proportional to 884.75, 1,325.96 and 364.15

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Solution

The fourth proportional to 884.75, 1,325.96 and 364.15 is: 545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.75 : 1,325.96 = 364.15 : x
  2. Step 2: Convert to fraction form
    884.75/1,325.96 = 364.15/x
  3. Step 3: Cross multiply
    884.75x = 1,325.96 × 364.15
  4. Step 4: Simplify right side
    884.75x = 482,843.20
  5. Step 5: Solve for x
    x = 482,843.20/884.75
  6. Step 6: Final answer
    x = 545.74

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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.