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Finding the Fourth Proportional to 813.15, 1,217.24 and 446.83

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Solution

The fourth proportional to 813.15, 1,217.24 and 446.83 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.15 : 1,217.24 = 446.83 : x
  2. Step 2: Convert to fraction form
    813.15/1,217.24 = 446.83/x
  3. Step 3: Cross multiply
    813.15x = 1,217.24 × 446.83
  4. Step 4: Simplify right side
    813.15x = 543,894.07
  5. Step 5: Solve for x
    x = 543,894.07/813.15
  6. Step 6: Final answer
    x = 668.87

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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.