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Finding the Fourth Proportional to 799.63, 1,103.69 and 520.56

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Solution

The fourth proportional to 799.63, 1,103.69 and 520.56 is: 718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.63 : 1,103.69 = 520.56 : x
  2. Step 2: Convert to fraction form
    799.63/1,103.69 = 520.56/x
  3. Step 3: Cross multiply
    799.63x = 1,103.69 × 520.56
  4. Step 4: Simplify right side
    799.63x = 574,538.17
  5. Step 5: Solve for x
    x = 574,538.17/799.63
  6. Step 6: Final answer
    x = 718.51

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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.