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Finding the Fourth Proportional to 800.92, 1,104.94 and 591.58

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Solution

The fourth proportional to 800.92, 1,104.94 and 591.58 is: 816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.92 : 1,104.94 = 591.58 : x
  2. Step 2: Convert to fraction form
    800.92/1,104.94 = 591.58/x
  3. Step 3: Cross multiply
    800.92x = 1,104.94 × 591.58
  4. Step 4: Simplify right side
    800.92x = 653,660.41
  5. Step 5: Solve for x
    x = 653,660.41/800.92
  6. Step 6: Final answer
    x = 816.14

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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.