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Finding the Fourth Proportional to 809.68, 1,118.60 and 623.92

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Solution

The fourth proportional to 809.68, 1,118.60 and 623.92 is: 861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.68 : 1,118.60 = 623.92 : x
  2. Step 2: Convert to fraction form
    809.68/1,118.60 = 623.92/x
  3. Step 3: Cross multiply
    809.68x = 1,118.60 × 623.92
  4. Step 4: Simplify right side
    809.68x = 697,916.91
  5. Step 5: Solve for x
    x = 697,916.91/809.68
  6. Step 6: Final answer
    x = 861.97

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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.