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Finding the Fourth Proportional to 819.83, 1,226.91 and 785.81

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Solution

The fourth proportional to 819.83, 1,226.91 and 785.81 is: 1,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.83 : 1,226.91 = 785.81 : x
  2. Step 2: Convert to fraction form
    819.83/1,226.91 = 785.81/x
  3. Step 3: Cross multiply
    819.83x = 1,226.91 × 785.81
  4. Step 4: Simplify right side
    819.83x = 964,118.15
  5. Step 5: Solve for x
    x = 964,118.15/819.83
  6. Step 6: Final answer
    x = 1,176.00

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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.