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Finding the Fourth Proportional to 799.67, 1,103.28 and 520.13

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Solution

The fourth proportional to 799.67, 1,103.28 and 520.13 is: 717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.67 : 1,103.28 = 520.13 : x
  2. Step 2: Convert to fraction form
    799.67/1,103.28 = 520.13/x
  3. Step 3: Cross multiply
    799.67x = 1,103.28 × 520.13
  4. Step 4: Simplify right side
    799.67x = 573,843.51
  5. Step 5: Solve for x
    x = 573,843.51/799.67
  6. Step 6: Final answer
    x = 717.60

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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.