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Finding the Fourth Proportional to 883.67, 1,325.94 and 363.83

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Solution

The fourth proportional to 883.67, 1,325.94 and 363.83 is: 545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.67 : 1,325.94 = 363.83 : x
  2. Step 2: Convert to fraction form
    883.67/1,325.94 = 363.83/x
  3. Step 3: Cross multiply
    883.67x = 1,325.94 × 363.83
  4. Step 4: Simplify right side
    883.67x = 482,416.21
  5. Step 5: Solve for x
    x = 482,416.21/883.67
  6. Step 6: Final answer
    x = 545.92

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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.