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Finding the Fourth Proportional to 813.63, 1,122.30 and 616.80

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Solution

The fourth proportional to 813.63, 1,122.30 and 616.80 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.63 : 1,122.30 = 616.80 : x
  2. Step 2: Convert to fraction form
    813.63/1,122.30 = 616.80/x
  3. Step 3: Cross multiply
    813.63x = 1,122.30 × 616.80
  4. Step 4: Simplify right side
    813.63x = 692,234.64
  5. Step 5: Solve for x
    x = 692,234.64/813.63
  6. Step 6: Final answer
    x = 850.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.