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Finding the Fourth Proportional to 799.11, 1,103.75 and 577.71

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Solution

The fourth proportional to 799.11, 1,103.75 and 577.71 is: 797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.11 : 1,103.75 = 577.71 : x
  2. Step 2: Convert to fraction form
    799.11/1,103.75 = 577.71/x
  3. Step 3: Cross multiply
    799.11x = 1,103.75 × 577.71
  4. Step 4: Simplify right side
    799.11x = 637,647.41
  5. Step 5: Solve for x
    x = 637,647.41/799.11
  6. Step 6: Final answer
    x = 797.95

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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.